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Finding the Fourth Proportional to 199, 298.24 and 77.11

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Solution

The fourth proportional to 199, 298.24 and 77.11 is: 115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199 : 298.24 = 77.11 : x
  2. Step 2: Convert to fraction form
    199/298.24 = 77.11/x
  3. Step 3: Cross multiply
    199x = 298.24 × 77.11
  4. Step 4: Simplify right side
    199x = 22,997.29
  5. Step 5: Solve for x
    x = 22,997.29/199
  6. Step 6: Final answer
    x = 115.56

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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.