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Finding the Fourth Proportional to 199.46, 298.99 and 77.76

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Solution

The fourth proportional to 199.46, 298.99 and 77.76 is: 116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.46 : 298.99 = 77.76 : x
  2. Step 2: Convert to fraction form
    199.46/298.99 = 77.76/x
  3. Step 3: Cross multiply
    199.46x = 298.99 × 77.76
  4. Step 4: Simplify right side
    199.46x = 23,249.56
  5. Step 5: Solve for x
    x = 23,249.56/199.46
  6. Step 6: Final answer
    x = 116.56

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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.