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Finding the Fourth Proportional to 198.97, 298.46 and 77.32

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Solution

The fourth proportional to 198.97, 298.46 and 77.32 is: 115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.97 : 298.46 = 77.32 : x
  2. Step 2: Convert to fraction form
    198.97/298.46 = 77.32/x
  3. Step 3: Cross multiply
    198.97x = 298.46 × 77.32
  4. Step 4: Simplify right side
    198.97x = 23,075.79
  5. Step 5: Solve for x
    x = 23,075.79/198.97
  6. Step 6: Final answer
    x = 115.98

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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.