What is the length of $\overline{XY}$?

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The table gives the perimeters of similar triangles

T U V

and

X Y Z

, where

\overline{T U}

corresponds to

\overline{X Y}

. The length of

\overline{T U}

16

.

Perimeters:
Triangle

T U V

44

Triangle

X Y Z

352

[cite: 1454, 1458, 1465, 1466, 1467, 1468]

What is the length of

\overline{X Y}

128