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Finding the Fourth Proportional to 318.28, 477.75 and 135.79

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Solution

The fourth proportional to 318.28, 477.75 and 135.79 is: 203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.28 : 477.75 = 135.79 : x
  2. Step 2: Convert to fraction form
    318.28/477.75 = 135.79/x
  3. Step 3: Cross multiply
    318.28x = 477.75 × 135.79
  4. Step 4: Simplify right side
    318.28x = 64,874.91
  5. Step 5: Solve for x
    x = 64,874.91/318.28
  6. Step 6: Final answer
    x = 203.83

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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.