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Finding the Fourth Proportional to 198.83, 298.27 and 68.86

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Solution

The fourth proportional to 198.83, 298.27 and 68.86 is: 103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.83 : 298.27 = 68.86 : x
  2. Step 2: Convert to fraction form
    198.83/298.27 = 68.86/x
  3. Step 3: Cross multiply
    198.83x = 298.27 × 68.86
  4. Step 4: Simplify right side
    198.83x = 20,538.87
  5. Step 5: Solve for x
    x = 20,538.87/198.83
  6. Step 6: Final answer
    x = 103.30

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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.