#### Answer

The car will need 14 gallons of gasoline to travel 238 miles.

#### Work Step by Step

Let X represent the amount of gasoline required to travel 238 miles.
Now, let’s set up a proportion in which one ratio compares the amounts of gasoline and the other ratio compares the corresponding distance.
So, $\frac{10}{X}$ = $\frac{170}{238}$
We cross multiply to obtain:
10 $\times$ 238 = X $\times$ 170
2380 = 170X
Divide both sides by 170.
X = 14
The car will need 14 gallons of gasoline to travel 238 miles.