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Finding the Fourth Proportional to 220.89, 331.26 and 159.84

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Solution

The fourth proportional to 220.89, 331.26 and 159.84 is: 239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.89 : 331.26 = 159.84 : x
  2. Step 2: Convert to fraction form
    220.89/331.26 = 159.84/x
  3. Step 3: Cross multiply
    220.89x = 331.26 × 159.84
  4. Step 4: Simplify right side
    220.89x = 52,948.60
  5. Step 5: Solve for x
    x = 52,948.60/220.89
  6. Step 6: Final answer
    x = 239.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.