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Finding the Fourth Proportional to 562.26, 843.39 and 196.95

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Solution

The fourth proportional to 562.26, 843.39 and 196.95 is: 295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.26 : 843.39 = 196.95 : x
  2. Step 2: Convert to fraction form
    562.26/843.39 = 196.95/x
  3. Step 3: Cross multiply
    562.26x = 843.39 × 196.95
  4. Step 4: Simplify right side
    562.26x = 166,105.66
  5. Step 5: Solve for x
    x = 166,105.66/562.26
  6. Step 6: Final answer
    x = 295.43

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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.