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Finding the Fourth Proportional to 293.84, 441.15 and 196.97

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Solution

The fourth proportional to 293.84, 441.15 and 196.97 is: 295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.84 : 441.15 = 196.97 : x
  2. Step 2: Convert to fraction form
    293.84/441.15 = 196.97/x
  3. Step 3: Cross multiply
    293.84x = 441.15 × 196.97
  4. Step 4: Simplify right side
    293.84x = 86,890.62
  5. Step 5: Solve for x
    x = 86,890.62/293.84
  6. Step 6: Final answer
    x = 295.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.