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Finding the Fourth Proportional to 207.29, 310.85 and 77.27

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Solution

The fourth proportional to 207.29, 310.85 and 77.27 is: 115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.29 : 310.85 = 77.27 : x
  2. Step 2: Convert to fraction form
    207.29/310.85 = 77.27/x
  3. Step 3: Cross multiply
    207.29x = 310.85 × 77.27
  4. Step 4: Simplify right side
    207.29x = 24,019.38
  5. Step 5: Solve for x
    x = 24,019.38/207.29
  6. Step 6: Final answer
    x = 115.87

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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.