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Finding the Fourth Proportional to 326.00, 489.35 and 163.69

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Solution

The fourth proportional to 326.00, 489.35 and 163.69 is: 245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.00 : 489.35 = 163.69 : x
  2. Step 2: Convert to fraction form
    326.00/489.35 = 163.69/x
  3. Step 3: Cross multiply
    326.00x = 489.35 × 163.69
  4. Step 4: Simplify right side
    326.00x = 80,100.43
  5. Step 5: Solve for x
    x = 80,100.43/326.00
  6. Step 6: Final answer
    x = 245.70

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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.