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Finding the Fourth Proportional to 177.87, 266.87 and 86.56

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Solution

The fourth proportional to 177.87, 266.87 and 86.56 is: 129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.87 : 266.87 = 86.56 : x
  2. Step 2: Convert to fraction form
    177.87/266.87 = 86.56/x
  3. Step 3: Cross multiply
    177.87x = 266.87 × 86.56
  4. Step 4: Simplify right side
    177.87x = 23,099.15
  5. Step 5: Solve for x
    x = 23,099.15/177.87
  6. Step 6: Final answer
    x = 129.87

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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.