Finding the Fourth Proportional to 257.38, 386.17 and 113.06
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Solution
The fourth proportional to 257.38, 386.17 and 113.06 is: 169.64
Step by Step Solution
- Step 1: Write the proportion equation
257.38 : 386.17 = 113.06 : x - Step 2: Convert to fraction form
257.38/386.17 = 113.06/x - Step 3: Cross multiply
257.38x = 386.17 × 113.06 - Step 4: Simplify right side
257.38x = 43,661.06 - Step 5: Solve for x
x = 43,661.06/257.38 - Step 6: Final answer
x = 169.64
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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.