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Finding the Fourth Proportional to 177.90, 267.08 and 86.68

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Solution

The fourth proportional to 177.90, 267.08 and 86.68 is: 130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.90 : 267.08 = 86.68 : x
  2. Step 2: Convert to fraction form
    177.90/267.08 = 86.68/x
  3. Step 3: Cross multiply
    177.90x = 267.08 × 86.68
  4. Step 4: Simplify right side
    177.90x = 23,150.49
  5. Step 5: Solve for x
    x = 23,150.49/177.90
  6. Step 6: Final answer
    x = 130.13

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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.