The table gives the perimeters of two similar quadrilaterals, $ABCD$ and $PQRS$, where $\overline{AB}$ corresponds to $\overline{PQ}$. The length of $\overline{AB}$ is 24.

Quadrilateral	Perimeter
ABCD	100
PQRS	350

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