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Finding the Fourth Proportional to 325.91, 449.81 and 194.96

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Solution

The fourth proportional to 325.91, 449.81 and 194.96 is: 269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.91 : 449.81 = 194.96 : x
  2. Step 2: Convert to fraction form
    325.91/449.81 = 194.96/x
  3. Step 3: Cross multiply
    325.91x = 449.81 × 194.96
  4. Step 4: Simplify right side
    325.91x = 87,691.73
  5. Step 5: Solve for x
    x = 87,691.73/325.91
  6. Step 6: Final answer
    x = 269.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.