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Finding the Fourth Proportional to 198.75, 298.13 and 147.87

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Solution

The fourth proportional to 198.75, 298.13 and 147.87 is: 221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.75 : 298.13 = 147.87 : x
  2. Step 2: Convert to fraction form
    198.75/298.13 = 147.87/x
  3. Step 3: Cross multiply
    198.75x = 298.13 × 147.87
  4. Step 4: Simplify right side
    198.75x = 44,083.74
  5. Step 5: Solve for x
    x = 44,083.74/198.75
  6. Step 6: Final answer
    x = 221.80

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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.