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Finding the Fourth Proportional to 326.38, 489.68 and 109.96

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Solution

The fourth proportional to 326.38, 489.68 and 109.96 is: 164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.38 : 489.68 = 109.96 : x
  2. Step 2: Convert to fraction form
    326.38/489.68 = 109.96/x
  3. Step 3: Cross multiply
    326.38x = 489.68 × 109.96
  4. Step 4: Simplify right side
    326.38x = 53,842.21
  5. Step 5: Solve for x
    x = 53,842.21/326.38
  6. Step 6: Final answer
    x = 164.97

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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.