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Finding the Fourth Proportional to 177.92, 267.36 and 135.68

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Solution

The fourth proportional to 177.92, 267.36 and 135.68 is: 203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.92 : 267.36 = 135.68 : x
  2. Step 2: Convert to fraction form
    177.92/267.36 = 135.68/x
  3. Step 3: Cross multiply
    177.92x = 267.36 × 135.68
  4. Step 4: Simplify right side
    177.92x = 36,275.40
  5. Step 5: Solve for x
    x = 36,275.40/177.92
  6. Step 6: Final answer
    x = 203.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.