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Finding the Fourth Proportional to 198.70, 297.68 and 144.46

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Solution

The fourth proportional to 198.70, 297.68 and 144.46 is: 216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.70 : 297.68 = 144.46 : x
  2. Step 2: Convert to fraction form
    198.70/297.68 = 144.46/x
  3. Step 3: Cross multiply
    198.70x = 297.68 × 144.46
  4. Step 4: Simplify right side
    198.70x = 43,002.85
  5. Step 5: Solve for x
    x = 43,002.85/198.70
  6. Step 6: Final answer
    x = 216.42

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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.