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Finding the Fourth Proportional to 379.12, 568.67 and 196.41

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Solution

The fourth proportional to 379.12, 568.67 and 196.41 is: 294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.12 : 568.67 = 196.41 : x
  2. Step 2: Convert to fraction form
    379.12/568.67 = 196.41/x
  3. Step 3: Cross multiply
    379.12x = 568.67 × 196.41
  4. Step 4: Simplify right side
    379.12x = 111,692.47
  5. Step 5: Solve for x
    x = 111,692.47/379.12
  6. Step 6: Final answer
    x = 294.61

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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.