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Finding the Fourth Proportional to 318.38, 477.57 and 135.77

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Solution

The fourth proportional to 318.38, 477.57 and 135.77 is: 203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.38 : 477.57 = 135.77 : x
  2. Step 2: Convert to fraction form
    318.38/477.57 = 135.77/x
  3. Step 3: Cross multiply
    318.38x = 477.57 × 135.77
  4. Step 4: Simplify right side
    318.38x = 64,839.68
  5. Step 5: Solve for x
    x = 64,839.68/318.38
  6. Step 6: Final answer
    x = 203.66

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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.