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Finding the Fourth Proportional to 379.15, 568.76 and 196.45

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Solution

The fourth proportional to 379.15, 568.76 and 196.45 is: 294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.15 : 568.76 = 196.45 : x
  2. Step 2: Convert to fraction form
    379.15/568.76 = 196.45/x
  3. Step 3: Cross multiply
    379.15x = 568.76 × 196.45
  4. Step 4: Simplify right side
    379.15x = 111,730.50
  5. Step 5: Solve for x
    x = 111,730.50/379.15
  6. Step 6: Final answer
    x = 294.69

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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.