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Finding the Fourth Proportional to 198.27, 296.73 and 144.09

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Solution

The fourth proportional to 198.27, 296.73 and 144.09 is: 215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.27 : 296.73 = 144.09 : x
  2. Step 2: Convert to fraction form
    198.27/296.73 = 144.09/x
  3. Step 3: Cross multiply
    198.27x = 296.73 × 144.09
  4. Step 4: Simplify right side
    198.27x = 42,755.83
  5. Step 5: Solve for x
    x = 42,755.83/198.27
  6. Step 6: Final answer
    x = 215.64

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Why These Related Problems?

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