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Finding the Fourth Proportional to 205.38, 307.96 and 132.14

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Solution

The fourth proportional to 205.38, 307.96 and 132.14 is: 198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 307.96 = 132.14 : x
  2. Step 2: Convert to fraction form
    205.38/307.96 = 132.14/x
  3. Step 3: Cross multiply
    205.38x = 307.96 × 132.14
  4. Step 4: Simplify right side
    205.38x = 40,694.27
  5. Step 5: Solve for x
    x = 40,694.27/205.38
  6. Step 6: Final answer
    x = 198.14

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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.