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Finding the Fourth Proportional to 198.72, 298.08 and 162.27

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Solution

The fourth proportional to 198.72, 298.08 and 162.27 is: 243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.72 : 298.08 = 162.27 : x
  2. Step 2: Convert to fraction form
    198.72/298.08 = 162.27/x
  3. Step 3: Cross multiply
    198.72x = 298.08 × 162.27
  4. Step 4: Simplify right side
    198.72x = 48,369.44
  5. Step 5: Solve for x
    x = 48,369.44/198.72
  6. Step 6: Final answer
    x = 243.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.