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Finding the Fourth Proportional to 198.20, 298.65 and 162.92

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Solution

The fourth proportional to 198.20, 298.65 and 162.92 is: 245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.20 : 298.65 = 162.92 : x
  2. Step 2: Convert to fraction form
    198.20/298.65 = 162.92/x
  3. Step 3: Cross multiply
    198.20x = 298.65 × 162.92
  4. Step 4: Simplify right side
    198.20x = 48,653.75
  5. Step 5: Solve for x
    x = 48,653.75/198.20
  6. Step 6: Final answer
    x = 245.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.