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Finding the Fourth Proportional to 206.97, 285.49 and 157.83

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Solution

The fourth proportional to 206.97, 285.49 and 157.83 is: 217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.97 : 285.49 = 157.83 : x
  2. Step 2: Convert to fraction form
    206.97/285.49 = 157.83/x
  3. Step 3: Cross multiply
    206.97x = 285.49 × 157.83
  4. Step 4: Simplify right side
    206.97x = 45,058.89
  5. Step 5: Solve for x
    x = 45,058.89/206.97
  6. Step 6: Final answer
    x = 217.71

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Why These Related Problems?

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