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Finding the Fourth Proportional to 379.52, 568.86 and 196.76

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Solution

The fourth proportional to 379.52, 568.86 and 196.76 is: 294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.52 : 568.86 = 196.76 : x
  2. Step 2: Convert to fraction form
    379.52/568.86 = 196.76/x
  3. Step 3: Cross multiply
    379.52x = 568.86 × 196.76
  4. Step 4: Simplify right side
    379.52x = 111,928.89
  5. Step 5: Solve for x
    x = 111,928.89/379.52
  6. Step 6: Final answer
    x = 294.92

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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.