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Finding the Fourth Proportional to 318.38, 477.53 and 101.96

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Solution

The fourth proportional to 318.38, 477.53 and 101.96 is: 152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.38 : 477.53 = 101.96 : x
  2. Step 2: Convert to fraction form
    318.38/477.53 = 101.96/x
  3. Step 3: Cross multiply
    318.38x = 477.53 × 101.96
  4. Step 4: Simplify right side
    318.38x = 48,686.83
  5. Step 5: Solve for x
    x = 48,686.83/318.38
  6. Step 6: Final answer
    x = 152.92

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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.