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Finding the Fourth Proportional to 198.80, 297.81 and 121.73

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Solution

The fourth proportional to 198.80, 297.81 and 121.73 is: 182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.80 : 297.81 = 121.73 : x
  2. Step 2: Convert to fraction form
    198.80/297.81 = 121.73/x
  3. Step 3: Cross multiply
    198.80x = 297.81 × 121.73
  4. Step 4: Simplify right side
    198.80x = 36,252.41
  5. Step 5: Solve for x
    x = 36,252.41/198.80
  6. Step 6: Final answer
    x = 182.36

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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.