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Finding the Fourth Proportional to 293.98, 441.17 and 196.59

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Solution

The fourth proportional to 293.98, 441.17 and 196.59 is: 295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.98 : 441.17 = 196.59 : x
  2. Step 2: Convert to fraction form
    293.98/441.17 = 196.59/x
  3. Step 3: Cross multiply
    293.98x = 441.17 × 196.59
  4. Step 4: Simplify right side
    293.98x = 86,729.61
  5. Step 5: Solve for x
    x = 86,729.61/293.98
  6. Step 6: Final answer
    x = 295.02

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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.