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Finding the Fourth Proportional to 207.38, 310.61 and 115.88

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Solution

The fourth proportional to 207.38, 310.61 and 115.88 is: 173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.38 : 310.61 = 115.88 : x
  2. Step 2: Convert to fraction form
    207.38/310.61 = 115.88/x
  3. Step 3: Cross multiply
    207.38x = 310.61 × 115.88
  4. Step 4: Simplify right side
    207.38x = 35,991.35
  5. Step 5: Solve for x
    x = 35,991.35/207.38
  6. Step 6: Final answer
    x = 173.56

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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.