To find the missing term that makes the ratios equivalent, we need to set up an equation based on the property of equivalent ratios. The ratio 153 to x should be equal to the ratio x to 315.
We can write this relationship as:
153/x = x/315
Next, we can cross-multiply to solve for x:
153 * 315 = x * x
After calculating the left side:
153 * 315 = 48295
This means we have:
x^2 = 48295
To find x, we take the square root of both sides:
x = √48295
Calculating the square root gives us:
x ≈ 219.67
Since we are rounding, we can state that the missing term that makes the ratios equivalent is approximately 220.