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Finding the Fourth Proportional to 220.28, 328.89 and 198.41

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Solution

The fourth proportional to 220.28, 328.89 and 198.41 is: 296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.28 : 328.89 = 198.41 : x
  2. Step 2: Convert to fraction form
    220.28/328.89 = 198.41/x
  3. Step 3: Cross multiply
    220.28x = 328.89 × 198.41
  4. Step 4: Simplify right side
    220.28x = 65,254.53
  5. Step 5: Solve for x
    x = 65,254.53/220.28
  6. Step 6: Final answer
    x = 296.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.