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Finding the Fourth Proportional to 326.27, 489.06 and 163.87

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Solution

The fourth proportional to 326.27, 489.06 and 163.87 is: 245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.27 : 489.06 = 163.87 : x
  2. Step 2: Convert to fraction form
    326.27/489.06 = 163.87/x
  3. Step 3: Cross multiply
    326.27x = 489.06 × 163.87
  4. Step 4: Simplify right side
    326.27x = 80,139.82
  5. Step 5: Solve for x
    x = 80,139.82/326.27
  6. Step 6: Final answer
    x = 245.62

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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.