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Finding the Fourth Proportional to 198.99, 298.29 and 107.69

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Solution

The fourth proportional to 198.99, 298.29 and 107.69 is: 161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.99 : 298.29 = 107.69 : x
  2. Step 2: Convert to fraction form
    198.99/298.29 = 107.69/x
  3. Step 3: Cross multiply
    198.99x = 298.29 × 107.69
  4. Step 4: Simplify right side
    198.99x = 32,122.85
  5. Step 5: Solve for x
    x = 32,122.85/198.99
  6. Step 6: Final answer
    x = 161.43

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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.