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Finding the Fourth Proportional to 329, 454.02 and 198.02

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Solution

The fourth proportional to 329, 454.02 and 198.02 is: 273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329 : 454.02 = 198.02 : x
  2. Step 2: Convert to fraction form
    329/454.02 = 198.02/x
  3. Step 3: Cross multiply
    329x = 454.02 × 198.02
  4. Step 4: Simplify right side
    329x = 89,905.04
  5. Step 5: Solve for x
    x = 89,905.04/329
  6. Step 6: Final answer
    x = 273.27

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