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Finding the Fourth Proportional to 207.27, 310.75 and 83.87

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Solution

The fourth proportional to 207.27, 310.75 and 83.87 is: 125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.27 : 310.75 = 83.87 : x
  2. Step 2: Convert to fraction form
    207.27/310.75 = 83.87/x
  3. Step 3: Cross multiply
    207.27x = 310.75 × 83.87
  4. Step 4: Simplify right side
    207.27x = 26,062.83
  5. Step 5: Solve for x
    x = 26,062.83/207.27
  6. Step 6: Final answer
    x = 125.74

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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.