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Finding the Fourth Proportional to 177.66, 266.24 and 86.18

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Solution

The fourth proportional to 177.66, 266.24 and 86.18 is: 129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.66 : 266.24 = 86.18 : x
  2. Step 2: Convert to fraction form
    177.66/266.24 = 86.18/x
  3. Step 3: Cross multiply
    177.66x = 266.24 × 86.18
  4. Step 4: Simplify right side
    177.66x = 22,944.56
  5. Step 5: Solve for x
    x = 22,944.56/177.66
  6. Step 6: Final answer
    x = 129.15

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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.