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Finding the Fourth Proportional to 205.86, 284.15 and 132.38

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Solution

The fourth proportional to 205.86, 284.15 and 132.38 is: 182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.86 : 284.15 = 132.38 : x
  2. Step 2: Convert to fraction form
    205.86/284.15 = 132.38/x
  3. Step 3: Cross multiply
    205.86x = 284.15 × 132.38
  4. Step 4: Simplify right side
    205.86x = 37,613.69
  5. Step 5: Solve for x
    x = 37,613.69/205.86
  6. Step 6: Final answer
    x = 182.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.