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Finding the Fourth Proportional to 178.97, 267.91 and 130.91

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Solution

The fourth proportional to 178.97, 267.91 and 130.91 is: 195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.97 : 267.91 = 130.91 : x
  2. Step 2: Convert to fraction form
    178.97/267.91 = 130.91/x
  3. Step 3: Cross multiply
    178.97x = 267.91 × 130.91
  4. Step 4: Simplify right side
    178.97x = 35,070.43
  5. Step 5: Solve for x
    x = 35,070.43/178.97
  6. Step 6: Final answer
    x = 195.96

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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.