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Finding the Fourth Proportional to 207.27, 310.73 and 77.18

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Solution

The fourth proportional to 207.27, 310.73 and 77.18 is: 115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.27 : 310.73 = 77.18 : x
  2. Step 2: Convert to fraction form
    207.27/310.73 = 77.18/x
  3. Step 3: Cross multiply
    207.27x = 310.73 × 77.18
  4. Step 4: Simplify right side
    207.27x = 23,983.01
  5. Step 5: Solve for x
    x = 23,983.01/207.27
  6. Step 6: Final answer
    x = 115.71

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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.