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ANSWER

[tex]2.29m[/tex]

EXPLANATION

The combined height of the three people is 7 meters. This means that the sum of their heights is 7 meters.

Joey is 2.31 m tall and Eli is 2.4 m tall.

Let Keith's height be k.

Therefore, we have that the sum of their heights is:

[tex]2.31+2.4+k=7[/tex]

Solve for k:

[tex]\begin{gathered} 4.71+k=7 \\ k=7-4.71 \\ k=2.29m \end{gathered}[/tex]

hence, Keith is 2.29 meters tall.