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Finding the Fourth Proportional to 198.24, 296.73 and 106.80

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Solution

The fourth proportional to 198.24, 296.73 and 106.80 is: 159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.24 : 296.73 = 106.80 : x
  2. Step 2: Convert to fraction form
    198.24/296.73 = 106.80/x
  3. Step 3: Cross multiply
    198.24x = 296.73 × 106.80
  4. Step 4: Simplify right side
    198.24x = 31,690.76
  5. Step 5: Solve for x
    x = 31,690.76/198.24
  6. Step 6: Final answer
    x = 159.86

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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.