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Finding the Fourth Proportional to 178.49, 267.71 and 75.83

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Solution

The fourth proportional to 178.49, 267.71 and 75.83 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.49 : 267.71 = 75.83 : x
  2. Step 2: Convert to fraction form
    178.49/267.71 = 75.83/x
  3. Step 3: Cross multiply
    178.49x = 267.71 × 75.83
  4. Step 4: Simplify right side
    178.49x = 20,298.73
  5. Step 5: Solve for x
    x = 20,298.73/178.49
  6. Step 6: Final answer
    x = 113.73

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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.