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Finding the Fourth Proportional to 329.20, 454.35 and 198.34

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Solution

The fourth proportional to 329.20, 454.35 and 198.34 is: 273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.20 : 454.35 = 198.34 : x
  2. Step 2: Convert to fraction form
    329.20/454.35 = 198.34/x
  3. Step 3: Cross multiply
    329.20x = 454.35 × 198.34
  4. Step 4: Simplify right side
    329.20x = 90,115.78
  5. Step 5: Solve for x
    x = 90,115.78/329.20
  6. Step 6: Final answer
    x = 273.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.