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Finding the Fourth Proportional to 178.80, 267.57 and 124.53

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Solution

The fourth proportional to 178.80, 267.57 and 124.53 is: 186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.80 : 267.57 = 124.53 : x
  2. Step 2: Convert to fraction form
    178.80/267.57 = 124.53/x
  3. Step 3: Cross multiply
    178.80x = 267.57 × 124.53
  4. Step 4: Simplify right side
    178.80x = 33,320.49
  5. Step 5: Solve for x
    x = 33,320.49/178.80
  6. Step 6: Final answer
    x = 186.36

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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.