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Finding the Fourth Proportional to 177.34, 266.09 and 86.12

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Solution

The fourth proportional to 177.34, 266.09 and 86.12 is: 129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.34 : 266.09 = 86.12 : x
  2. Step 2: Convert to fraction form
    177.34/266.09 = 86.12/x
  3. Step 3: Cross multiply
    177.34x = 266.09 × 86.12
  4. Step 4: Simplify right side
    177.34x = 22,915.67
  5. Step 5: Solve for x
    x = 22,915.67/177.34
  6. Step 6: Final answer
    x = 129.22

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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.