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Finding the Fourth Proportional to 198.06, 296.76 and 106.73

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Solution

The fourth proportional to 198.06, 296.76 and 106.73 is: 159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.06 : 296.76 = 106.73 : x
  2. Step 2: Convert to fraction form
    198.06/296.76 = 106.73/x
  3. Step 3: Cross multiply
    198.06x = 296.76 × 106.73
  4. Step 4: Simplify right side
    198.06x = 31,671.71
  5. Step 5: Solve for x
    x = 31,671.71/198.06
  6. Step 6: Final answer
    x = 159.91

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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.