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Finding the Fourth Proportional to 177.50, 266.16 and 86.16

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Solution

The fourth proportional to 177.50, 266.16 and 86.16 is: 129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.50 : 266.16 = 86.16 : x
  2. Step 2: Convert to fraction form
    177.50/266.16 = 86.16/x
  3. Step 3: Cross multiply
    177.50x = 266.16 × 86.16
  4. Step 4: Simplify right side
    177.50x = 22,932.35
  5. Step 5: Solve for x
    x = 22,932.35/177.50
  6. Step 6: Final answer
    x = 129.20

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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.