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Finding the Fourth Proportional to 326.20, 489.34 and 109.84

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Solution

The fourth proportional to 326.20, 489.34 and 109.84 is: 164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.20 : 489.34 = 109.84 : x
  2. Step 2: Convert to fraction form
    326.20/489.34 = 109.84/x
  3. Step 3: Cross multiply
    326.20x = 489.34 × 109.84
  4. Step 4: Simplify right side
    326.20x = 53,749.11
  5. Step 5: Solve for x
    x = 53,749.11/326.20
  6. Step 6: Final answer
    x = 164.77

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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.