Finding the Fourth Proportional to 314.38, 470.85 and 169.75
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Solution
The fourth proportional to 314.38, 470.85 and 169.75 is: 254.24
Step by Step Solution
- Step 1: Write the proportion equation
314.38 : 470.85 = 169.75 : x - Step 2: Convert to fraction form
314.38/470.85 = 169.75/x - Step 3: Cross multiply
314.38x = 470.85 × 169.75 - Step 4: Simplify right side
314.38x = 79,926.79 - Step 5: Solve for x
x = 79,926.79/314.38 - Step 6: Final answer
x = 254.24
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.