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Finding the Fourth Proportional to 206.92, 283.97 and 187.48

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Solution

The fourth proportional to 206.92, 283.97 and 187.48 is: 257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.92 : 283.97 = 187.48 : x
  2. Step 2: Convert to fraction form
    206.92/283.97 = 187.48/x
  3. Step 3: Cross multiply
    206.92x = 283.97 × 187.48
  4. Step 4: Simplify right side
    206.92x = 53,238.70
  5. Step 5: Solve for x
    x = 53,238.70/206.92
  6. Step 6: Final answer
    x = 257.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.