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Finding the Fourth Proportional to 178.65, 267.82 and 91.83

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Solution

The fourth proportional to 178.65, 267.82 and 91.83 is: 137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.65 : 267.82 = 91.83 : x
  2. Step 2: Convert to fraction form
    178.65/267.82 = 91.83/x
  3. Step 3: Cross multiply
    178.65x = 267.82 × 91.83
  4. Step 4: Simplify right side
    178.65x = 24,593.91
  5. Step 5: Solve for x
    x = 24,593.91/178.65
  6. Step 6: Final answer
    x = 137.67

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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.