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Finding the Fourth Proportional to 220.23, 330.44 and 75.96

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Solution

The fourth proportional to 220.23, 330.44 and 75.96 is: 113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.23 : 330.44 = 75.96 : x
  2. Step 2: Convert to fraction form
    220.23/330.44 = 75.96/x
  3. Step 3: Cross multiply
    220.23x = 330.44 × 75.96
  4. Step 4: Simplify right side
    220.23x = 25,099.84
  5. Step 5: Solve for x
    x = 25,099.84/220.23
  6. Step 6: Final answer
    x = 113.97

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