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Finding the Fourth Proportional to 198.45, 273.60 and 165.13

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Solution

The fourth proportional to 198.45, 273.60 and 165.13 is: 227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.45 : 273.60 = 165.13 : x
  2. Step 2: Convert to fraction form
    198.45/273.60 = 165.13/x
  3. Step 3: Cross multiply
    198.45x = 273.60 × 165.13
  4. Step 4: Simplify right side
    198.45x = 45,179.57
  5. Step 5: Solve for x
    x = 45,179.57/198.45
  6. Step 6: Final answer
    x = 227.66

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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.