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Finding the Fourth Proportional to 199.14, 298.86 and 75.85

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Solution

The fourth proportional to 199.14, 298.86 and 75.85 is: 113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.14 : 298.86 = 75.85 : x
  2. Step 2: Convert to fraction form
    199.14/298.86 = 75.85/x
  3. Step 3: Cross multiply
    199.14x = 298.86 × 75.85
  4. Step 4: Simplify right side
    199.14x = 22,667.50
  5. Step 5: Solve for x
    x = 22,667.50/199.14
  6. Step 6: Final answer
    x = 113.83

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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.