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Finding the Fourth Proportional to 387.16, 580.86 and 113.29

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Solution

The fourth proportional to 387.16, 580.86 and 113.29 is: 169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.16 : 580.86 = 113.29 : x
  2. Step 2: Convert to fraction form
    387.16/580.86 = 113.29/x
  3. Step 3: Cross multiply
    387.16x = 580.86 × 113.29
  4. Step 4: Simplify right side
    387.16x = 65,805.63
  5. Step 5: Solve for x
    x = 65,805.63/387.16
  6. Step 6: Final answer
    x = 169.97

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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.