KANSAS CITY, Mo. — The fourth-down play was designed to go left, yet there was Patrick Mahomes scrambling to his right with a phalanx of Ravens in pursuit, his eyes trained on Tyreek Hill deep downfield.

Mahomes heaved an audacious throw. Hill made an incredible catch.

The Chiefs proceeded to score a tying touchdown on a pass to Damien Williams on another fourth-down play to force overtime. Then they watched as Harrison Butker booted a 36-yard field goal — atoning for a miss as time expired — and their maligned defense stuffed Baltimore to escape with a 27-24 victory Sunday.

“You always want to be in a position to go win a game,” said Mahomes, who threw for 377 yards and two scores as the Chiefs clinched a playoff berth. “These are the best wins when you have to battle, when you trade plays. These are the ones that you remember the most.”

The Ravens looked as if they might match Butker’s field goal, marching across midfield in overtime, but Ronnie Stanley’s holding penalty put them in a bind. Jackson was then sacked by Justin Houston and Dee Ford — and left with an ankle injury — before Robert Griffin III threw two incompletions to end it.

“We played a heck of a game. Just didn’t get it down,” said Jackson, who insisted after X-rays came back negative that he would be OK. “We’ve got to regroup next week and get ready for our next game.”

Tyreek Hill caught eight passes for 139 yards for Kansas City (11-2), including three in overtime to set up the eventual winning field goal. Travis Kelce had seven catches for 77 yards and another score.

Jackson finished with 147 yards and two touchdowns for the Ravens, who had never lost in three trips to Arrowhead Stadium. Jackson also had 71 yards rushing in his fourth start in place of Joe Flacco .

“We didn’t come here for no moral victory,” Ravens pass rusher Terrell Suggs said. “We didn’t come here to `do well’ against a 10-2 team, now 11-2. No, we came to win.”

Both teams looked as if they had the game won in regulation.

The Ravens (7-6) took the lead with 4:04 to go when a long punt return gave them a short field, and Jackson threw a third-down touchdown pass to John Brown. But the NFL’s top-ranked defense twice allowed the league’s highest-scoring offense to convert on fourth down.