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Finding the Fourth Proportional to 198.03, 272.61 and 173.43

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Solution

The fourth proportional to 198.03, 272.61 and 173.43 is: 238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.03 : 272.61 = 173.43 : x
  2. Step 2: Convert to fraction form
    198.03/272.61 = 173.43/x
  3. Step 3: Cross multiply
    198.03x = 272.61 × 173.43
  4. Step 4: Simplify right side
    198.03x = 47,278.75
  5. Step 5: Solve for x
    x = 47,278.75/198.03
  6. Step 6: Final answer
    x = 238.75

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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.