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Finding the Fourth Proportional to 198.57, 298.04 and 147.09

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Solution

The fourth proportional to 198.57, 298.04 and 147.09 is: 220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.57 : 298.04 = 147.09 : x
  2. Step 2: Convert to fraction form
    198.57/298.04 = 147.09/x
  3. Step 3: Cross multiply
    198.57x = 298.04 × 147.09
  4. Step 4: Simplify right side
    198.57x = 43,837.97
  5. Step 5: Solve for x
    x = 43,837.97/198.57
  6. Step 6: Final answer
    x = 220.77

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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.