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Finding the Fourth Proportional to 178.24, 267.16 and 132.80

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Solution

The fourth proportional to 178.24, 267.16 and 132.80 is: 199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.24 : 267.16 = 132.80 : x
  2. Step 2: Convert to fraction form
    178.24/267.16 = 132.80/x
  3. Step 3: Cross multiply
    178.24x = 267.16 × 132.80
  4. Step 4: Simplify right side
    178.24x = 35,478.85
  5. Step 5: Solve for x
    x = 35,478.85/178.24
  6. Step 6: Final answer
    x = 199.05

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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.