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Finding the Fourth Proportional to 198.36, 296.96 and 147.24

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Solution

The fourth proportional to 198.36, 296.96 and 147.24 is: 220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.36 : 296.96 = 147.24 : x
  2. Step 2: Convert to fraction form
    198.36/296.96 = 147.24/x
  3. Step 3: Cross multiply
    198.36x = 296.96 × 147.24
  4. Step 4: Simplify right side
    198.36x = 43,724.39
  5. Step 5: Solve for x
    x = 43,724.39/198.36
  6. Step 6: Final answer
    x = 220.43

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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.