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Finding the Fourth Proportional to 198.18, 273.24 and 163.35

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Solution

The fourth proportional to 198.18, 273.24 and 163.35 is: 225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.18 : 273.24 = 163.35 : x
  2. Step 2: Convert to fraction form
    198.18/273.24 = 163.35/x
  3. Step 3: Cross multiply
    198.18x = 273.24 × 163.35
  4. Step 4: Simplify right side
    198.18x = 44,633.75
  5. Step 5: Solve for x
    x = 44,633.75/198.18
  6. Step 6: Final answer
    x = 225.22

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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.