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Finding the Fourth Proportional to 178.48, 267.77 and 91.80

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Solution

The fourth proportional to 178.48, 267.77 and 91.80 is: 137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.48 : 267.77 = 91.80 : x
  2. Step 2: Convert to fraction form
    178.48/267.77 = 91.80/x
  3. Step 3: Cross multiply
    178.48x = 267.77 × 91.80
  4. Step 4: Simplify right side
    178.48x = 24,581.52
  5. Step 5: Solve for x
    x = 24,581.52/178.48
  6. Step 6: Final answer
    x = 137.73

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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.