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Finding the Fourth Proportional to 177.92, 266.65 and 131.90

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Solution

The fourth proportional to 177.92, 266.65 and 131.90 is: 197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.92 : 266.65 = 131.90 : x
  2. Step 2: Convert to fraction form
    177.92/266.65 = 131.90/x
  3. Step 3: Cross multiply
    177.92x = 266.65 × 131.90
  4. Step 4: Simplify right side
    177.92x = 35,171.14
  5. Step 5: Solve for x
    x = 35,171.14/177.92
  6. Step 6: Final answer
    x = 197.68

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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.