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Finding the Fourth Proportional to 177.32, 266.02 and 86.06

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Solution

The fourth proportional to 177.32, 266.02 and 86.06 is: 129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.32 : 266.02 = 86.06 : x
  2. Step 2: Convert to fraction form
    177.32/266.02 = 86.06/x
  3. Step 3: Cross multiply
    177.32x = 266.02 × 86.06
  4. Step 4: Simplify right side
    177.32x = 22,894.13
  5. Step 5: Solve for x
    x = 22,894.13/177.32
  6. Step 6: Final answer
    x = 129.11

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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.