AMC 8 2024 - Problem 7

A ball is dropped from a height of 3 meters. Each time it hits the ground, it bounces up to 2/3 of the height from which it fell. The ball is caught when it reaches the peak of its fourth bounce. To the nearest centimeter, how high is the ball when it is caught?

2024 AMC 8 Problem 7 diagram
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Answer:
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