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Finding the Fourth Proportional to 326.19, 488.94 and 163.78

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Solution

The fourth proportional to 326.19, 488.94 and 163.78 is: 245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.19 : 488.94 = 163.78 : x
  2. Step 2: Convert to fraction form
    326.19/488.94 = 163.78/x
  3. Step 3: Cross multiply
    326.19x = 488.94 × 163.78
  4. Step 4: Simplify right side
    326.19x = 80,078.59
  5. Step 5: Solve for x
    x = 80,078.59/326.19
  6. Step 6: Final answer
    x = 245.50

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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.