Finding the Fourth Proportional to 159.52, 220.08 and 144
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Solution
The fourth proportional to 159.52, 220.08 and 144 is: 198.67
Step by Step Solution
- Step 1: Write the proportion equation
159.52 : 220.08 = 144 : x - Step 2: Convert to fraction form
159.52/220.08 = 144/x - Step 3: Cross multiply
159.52x = 220.08 × 144 - Step 4: Simplify right side
159.52x = 31,691.52 - Step 5: Solve for x
x = 31,691.52/159.52 - Step 6: Final answer
x = 198.67
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.