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Finding the Fourth Proportional to 207.43, 310.87 and 85.66

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Solution

The fourth proportional to 207.43, 310.87 and 85.66 is: 128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.43 : 310.87 = 85.66 : x
  2. Step 2: Convert to fraction form
    207.43/310.87 = 85.66/x
  3. Step 3: Cross multiply
    207.43x = 310.87 × 85.66
  4. Step 4: Simplify right side
    207.43x = 26,628.45
  5. Step 5: Solve for x
    x = 26,628.45/207.43
  6. Step 6: Final answer
    x = 128.37

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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.