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Finding the Fourth Proportional to 318.60, 477.68 and 135.74

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Solution

The fourth proportional to 318.60, 477.68 and 135.74 is: 203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.60 : 477.68 = 135.74 : x
  2. Step 2: Convert to fraction form
    318.60/477.68 = 135.74/x
  3. Step 3: Cross multiply
    318.60x = 477.68 × 135.74
  4. Step 4: Simplify right side
    318.60x = 64,840.28
  5. Step 5: Solve for x
    x = 64,840.28/318.60
  6. Step 6: Final answer
    x = 203.52

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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.