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Finding the Fourth Proportional to 207.31, 310.83 and 77.29

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Solution

The fourth proportional to 207.31, 310.83 and 77.29 is: 115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.31 : 310.83 = 77.29 : x
  2. Step 2: Convert to fraction form
    207.31/310.83 = 77.29/x
  3. Step 3: Cross multiply
    207.31x = 310.83 × 77.29
  4. Step 4: Simplify right side
    207.31x = 24,022.98
  5. Step 5: Solve for x
    x = 24,022.98/207.31
  6. Step 6: Final answer
    x = 115.88

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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.