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Finding the Fourth Proportional to 200.20, 273.41 and 198.04

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Solution

The fourth proportional to 200.20, 273.41 and 198.04 is: 270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.20 : 273.41 = 198.04 : x
  2. Step 2: Convert to fraction form
    200.20/273.41 = 198.04/x
  3. Step 3: Cross multiply
    200.20x = 273.41 × 198.04
  4. Step 4: Simplify right side
    200.20x = 54,146.12
  5. Step 5: Solve for x
    x = 54,146.12/200.20
  6. Step 6: Final answer
    x = 270.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.