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Finding the Fourth Proportional to 318.29, 477.49 and 112.85

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Solution

The fourth proportional to 318.29, 477.49 and 112.85 is: 169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.29 : 477.49 = 112.85 : x
  2. Step 2: Convert to fraction form
    318.29/477.49 = 112.85/x
  3. Step 3: Cross multiply
    318.29x = 477.49 × 112.85
  4. Step 4: Simplify right side
    318.29x = 53,882.32
  5. Step 5: Solve for x
    x = 53,882.32/318.29
  6. Step 6: Final answer
    x = 169.28

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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.