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Finding the Fourth Proportional to 252.85, 349.06 and 159.73

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Solution

The fourth proportional to 252.85, 349.06 and 159.73 is: 220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.85 : 349.06 = 159.73 : x
  2. Step 2: Convert to fraction form
    252.85/349.06 = 159.73/x
  3. Step 3: Cross multiply
    252.85x = 349.06 × 159.73
  4. Step 4: Simplify right side
    252.85x = 55,755.35
  5. Step 5: Solve for x
    x = 55,755.35/252.85
  6. Step 6: Final answer
    x = 220.51

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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.