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Finding the Fourth Proportional to 168.82, 252.90 and 132.34

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Solution

The fourth proportional to 168.82, 252.90 and 132.34 is: 198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.82 : 252.90 = 132.34 : x
  2. Step 2: Convert to fraction form
    168.82/252.90 = 132.34/x
  3. Step 3: Cross multiply
    168.82x = 252.90 × 132.34
  4. Step 4: Simplify right side
    168.82x = 33,468.79
  5. Step 5: Solve for x
    x = 33,468.79/168.82
  6. Step 6: Final answer
    x = 198.25

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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.