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Finding the Fourth Proportional to 178.62, 267.89 and 91.95

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Solution

The fourth proportional to 178.62, 267.89 and 91.95 is: 137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.62 : 267.89 = 91.95 : x
  2. Step 2: Convert to fraction form
    178.62/267.89 = 91.95/x
  3. Step 3: Cross multiply
    178.62x = 267.89 × 91.95
  4. Step 4: Simplify right side
    178.62x = 24,632.49
  5. Step 5: Solve for x
    x = 24,632.49/178.62
  6. Step 6: Final answer
    x = 137.90

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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.