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Finding the Fourth Proportional to 326.06, 488.84 and 163.62

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Solution

The fourth proportional to 326.06, 488.84 and 163.62 is: 245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.06 : 488.84 = 163.62 : x
  2. Step 2: Convert to fraction form
    326.06/488.84 = 163.62/x
  3. Step 3: Cross multiply
    326.06x = 488.84 × 163.62
  4. Step 4: Simplify right side
    326.06x = 79,983.18
  5. Step 5: Solve for x
    x = 79,983.18/326.06
  6. Step 6: Final answer
    x = 245.31

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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.