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Finding the Fourth Proportional to 326.19, 489.12 and 109.69

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Solution

The fourth proportional to 326.19, 489.12 and 109.69 is: 164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.19 : 489.12 = 109.69 : x
  2. Step 2: Convert to fraction form
    326.19/489.12 = 109.69/x
  3. Step 3: Cross multiply
    326.19x = 489.12 × 109.69
  4. Step 4: Simplify right side
    326.19x = 53,651.57
  5. Step 5: Solve for x
    x = 53,651.57/326.19
  6. Step 6: Final answer
    x = 164.48

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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.