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Finding the Fourth Proportional to 199.10, 298.42 and 77.30

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Solution

The fourth proportional to 199.10, 298.42 and 77.30 is: 115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.10 : 298.42 = 77.30 : x
  2. Step 2: Convert to fraction form
    199.10/298.42 = 77.30/x
  3. Step 3: Cross multiply
    199.10x = 298.42 × 77.30
  4. Step 4: Simplify right side
    199.10x = 23,067.87
  5. Step 5: Solve for x
    x = 23,067.87/199.10
  6. Step 6: Final answer
    x = 115.86

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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.