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Finding the Fourth Proportional to 206.62, 310.08 and 115.39

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Solution

The fourth proportional to 206.62, 310.08 and 115.39 is: 173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.62 : 310.08 = 115.39 : x
  2. Step 2: Convert to fraction form
    206.62/310.08 = 115.39/x
  3. Step 3: Cross multiply
    206.62x = 310.08 × 115.39
  4. Step 4: Simplify right side
    206.62x = 35,780.30
  5. Step 5: Solve for x
    x = 35,780.30/206.62
  6. Step 6: Final answer
    x = 173.17

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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.