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Finding the Fourth Proportional to 220.31, 330.46 and 198.64

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Solution

The fourth proportional to 220.31, 330.46 and 198.64 is: 297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.31 : 330.46 = 198.64 : x
  2. Step 2: Convert to fraction form
    220.31/330.46 = 198.64/x
  3. Step 3: Cross multiply
    220.31x = 330.46 × 198.64
  4. Step 4: Simplify right side
    220.31x = 65,642.57
  5. Step 5: Solve for x
    x = 65,642.57/220.31
  6. Step 6: Final answer
    x = 297.96

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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.