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Finding the Fourth Proportional to 205.92, 309.06 and 132.96

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Solution

The fourth proportional to 205.92, 309.06 and 132.96 is: 199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 309.06 = 132.96 : x
  2. Step 2: Convert to fraction form
    205.92/309.06 = 132.96/x
  3. Step 3: Cross multiply
    205.92x = 309.06 × 132.96
  4. Step 4: Simplify right side
    205.92x = 41,092.62
  5. Step 5: Solve for x
    x = 41,092.62/205.92
  6. Step 6: Final answer
    x = 199.56

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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.