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Finding the Fourth Proportional to 326.80, 489.96 and 164.37

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Solution

The fourth proportional to 326.80, 489.96 and 164.37 is: 246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.80 : 489.96 = 164.37 : x
  2. Step 2: Convert to fraction form
    326.80/489.96 = 164.37/x
  3. Step 3: Cross multiply
    326.80x = 489.96 × 164.37
  4. Step 4: Simplify right side
    326.80x = 80,534.73
  5. Step 5: Solve for x
    x = 80,534.73/326.80
  6. Step 6: Final answer
    x = 246.43

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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.