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Finding the Fourth Proportional to 220.24, 330.09 and 75.79

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Solution

The fourth proportional to 220.24, 330.09 and 75.79 is: 113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.24 : 330.09 = 75.79 : x
  2. Step 2: Convert to fraction form
    220.24/330.09 = 75.79/x
  3. Step 3: Cross multiply
    220.24x = 330.09 × 75.79
  4. Step 4: Simplify right side
    220.24x = 25,017.52
  5. Step 5: Solve for x
    x = 25,017.52/220.24
  6. Step 6: Final answer
    x = 113.59

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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.