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Finding the Fourth Proportional to 219.11, 327.88 and 132.14

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Solution

The fourth proportional to 219.11, 327.88 and 132.14 is: 197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.11 : 327.88 = 132.14 : x
  2. Step 2: Convert to fraction form
    219.11/327.88 = 132.14/x
  3. Step 3: Cross multiply
    219.11x = 327.88 × 132.14
  4. Step 4: Simplify right side
    219.11x = 43,324.42
  5. Step 5: Solve for x
    x = 43,324.42/219.11
  6. Step 6: Final answer
    x = 197.73

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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.