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Finding the Fourth Proportional to 207.85, 286.73 and 168.97

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Solution

The fourth proportional to 207.85, 286.73 and 168.97 is: 233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.85 : 286.73 = 168.97 : x
  2. Step 2: Convert to fraction form
    207.85/286.73 = 168.97/x
  3. Step 3: Cross multiply
    207.85x = 286.73 × 168.97
  4. Step 4: Simplify right side
    207.85x = 48,447.92
  5. Step 5: Solve for x
    x = 48,447.92/207.85
  6. Step 6: Final answer
    x = 233.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.