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Finding the Fourth Proportional to 213.96, 321.10 and 132.92

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Solution

The fourth proportional to 213.96, 321.10 and 132.92 is: 199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.96 : 321.10 = 132.92 : x
  2. Step 2: Convert to fraction form
    213.96/321.10 = 132.92/x
  3. Step 3: Cross multiply
    213.96x = 321.10 × 132.92
  4. Step 4: Simplify right side
    213.96x = 42,680.61
  5. Step 5: Solve for x
    x = 42,680.61/213.96
  6. Step 6: Final answer
    x = 199.48

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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.