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Finding the Fourth Proportional to 220.74, 331.03 and 105.18

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Solution

The fourth proportional to 220.74, 331.03 and 105.18 is: 157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.74 : 331.03 = 105.18 : x
  2. Step 2: Convert to fraction form
    220.74/331.03 = 105.18/x
  3. Step 3: Cross multiply
    220.74x = 331.03 × 105.18
  4. Step 4: Simplify right side
    220.74x = 34,817.74
  5. Step 5: Solve for x
    x = 34,817.74/220.74
  6. Step 6: Final answer
    x = 157.73

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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.