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Finding the Fourth Proportional to 206, 308.89 and 82.61

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Solution

The fourth proportional to 206, 308.89 and 82.61 is: 123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206 : 308.89 = 82.61 : x
  2. Step 2: Convert to fraction form
    206/308.89 = 82.61/x
  3. Step 3: Cross multiply
    206x = 308.89 × 82.61
  4. Step 4: Simplify right side
    206x = 25,517.40
  5. Step 5: Solve for x
    x = 25,517.40/206
  6. Step 6: Final answer
    x = 123.87

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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.