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Finding the Fourth Proportional to 206.09, 284.36 and 132.42

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Solution

The fourth proportional to 206.09, 284.36 and 132.42 is: 182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.09 : 284.36 = 132.42 : x
  2. Step 2: Convert to fraction form
    206.09/284.36 = 132.42/x
  3. Step 3: Cross multiply
    206.09x = 284.36 × 132.42
  4. Step 4: Simplify right side
    206.09x = 37,654.95
  5. Step 5: Solve for x
    x = 37,654.95/206.09
  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.