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Finding the Fourth Proportional to 178.38, 267.73 and 124.31

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Solution

The fourth proportional to 178.38, 267.73 and 124.31 is: 186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.38 : 267.73 = 124.31 : x
  2. Step 2: Convert to fraction form
    178.38/267.73 = 124.31/x
  3. Step 3: Cross multiply
    178.38x = 267.73 × 124.31
  4. Step 4: Simplify right side
    178.38x = 33,281.87
  5. Step 5: Solve for x
    x = 33,281.87/178.38
  6. Step 6: Final answer
    x = 186.58

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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.