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Finding the Fourth Proportional to 207.97, 311.72 and 86.20

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Solution

The fourth proportional to 207.97, 311.72 and 86.20 is: 129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.97 : 311.72 = 86.20 : x
  2. Step 2: Convert to fraction form
    207.97/311.72 = 86.20/x
  3. Step 3: Cross multiply
    207.97x = 311.72 × 86.20
  4. Step 4: Simplify right side
    207.97x = 26,869.05
  5. Step 5: Solve for x
    x = 26,869.05/207.97
  6. Step 6: Final answer
    x = 129.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.