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Finding the Fourth Proportional to 199.09, 298.47 and 77.23

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Solution

The fourth proportional to 199.09, 298.47 and 77.23 is: 115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.09 : 298.47 = 77.23 : x
  2. Step 2: Convert to fraction form
    199.09/298.47 = 77.23/x
  3. Step 3: Cross multiply
    199.09x = 298.47 × 77.23
  4. Step 4: Simplify right side
    199.09x = 23,050.84
  5. Step 5: Solve for x
    x = 23,050.84/199.09
  6. Step 6: Final answer
    x = 115.78

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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.