This is a ratio problem; the ratio of the length to width is constant (and therefore equal):
4 /6 = 15 / x
Now, with a ratio, we may do any allowable algebra operation: cross-multiply, invert both sides, multiply or divide both sides by the same amount, etc.
Let's cross-multiply:
4x = (15)(6)
x = 90/4
x = 22.5 in.
The volume of a rectangular prism is represented by the following equation:

Where the variables are for volume, width, height, and length, respectively.
We are given that the area of one end is 16 cm² (units have to be correct when solving these problems, so it's 16 cm², not 16 cm as described in the problem). We know that 
Using this knowledge, we can change the volume equation to our needs.



Note: We know that A is 16 since it's given

The volume is 208 cm³ (once again, incorrect units given). Insert this into the equation.

Divide both sides of the equation by 16.

The length is 13 cm.
Let me know if you need any clarifications, thanks!
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
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