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Finding the Fourth Proportional to 177.63, 266.26 and 86.20

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Solution

The fourth proportional to 177.63, 266.26 and 86.20 is: 129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.63 : 266.26 = 86.20 : x
  2. Step 2: Convert to fraction form
    177.63/266.26 = 86.20/x
  3. Step 3: Cross multiply
    177.63x = 266.26 × 86.20
  4. Step 4: Simplify right side
    177.63x = 22,951.61
  5. Step 5: Solve for x
    x = 22,951.61/177.63
  6. Step 6: Final answer
    x = 129.21

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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.