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Finding the Fourth Proportional to 198.99, 298.24 and 112.37

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Solution

The fourth proportional to 198.99, 298.24 and 112.37 is: 168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.99 : 298.24 = 112.37 : x
  2. Step 2: Convert to fraction form
    198.99/298.24 = 112.37/x
  3. Step 3: Cross multiply
    198.99x = 298.24 × 112.37
  4. Step 4: Simplify right side
    198.99x = 33,511.46
  5. Step 5: Solve for x
    x = 33,511.46/198.99
  6. Step 6: Final answer
    x = 168.41

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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.