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Finding the Fourth Proportional to 177.97, 266.54 and 86.38

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Solution

The fourth proportional to 177.97, 266.54 and 86.38 is: 129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.97 : 266.54 = 86.38 : x
  2. Step 2: Convert to fraction form
    177.97/266.54 = 86.38/x
  3. Step 3: Cross multiply
    177.97x = 266.54 × 86.38
  4. Step 4: Simplify right side
    177.97x = 23,023.73
  5. Step 5: Solve for x
    x = 23,023.73/177.97
  6. Step 6: Final answer
    x = 129.37

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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.