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Finding the Fourth Proportional to 206.82, 310.19 and 104.15

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Solution

The fourth proportional to 206.82, 310.19 and 104.15 is: 156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.82 : 310.19 = 104.15 : x
  2. Step 2: Convert to fraction form
    206.82/310.19 = 104.15/x
  3. Step 3: Cross multiply
    206.82x = 310.19 × 104.15
  4. Step 4: Simplify right side
    206.82x = 32,306.54
  5. Step 5: Solve for x
    x = 32,306.54/206.82
  6. Step 6: Final answer
    x = 156.21

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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.