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Finding the Fourth Proportional to 220.99, 331.61 and 105.42

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Solution

The fourth proportional to 220.99, 331.61 and 105.42 is: 158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.99 : 331.61 = 105.42 : x
  2. Step 2: Convert to fraction form
    220.99/331.61 = 105.42/x
  3. Step 3: Cross multiply
    220.99x = 331.61 × 105.42
  4. Step 4: Simplify right side
    220.99x = 34,956.97
  5. Step 5: Solve for x
    x = 34,956.97/220.99
  6. Step 6: Final answer
    x = 158.18

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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.