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Finding the Fourth Proportional to 326.68, 490.20 and 182.26

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Solution

The fourth proportional to 326.68, 490.20 and 182.26 is: 273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.68 : 490.20 = 182.26 : x
  2. Step 2: Convert to fraction form
    326.68/490.20 = 182.26/x
  3. Step 3: Cross multiply
    326.68x = 490.20 × 182.26
  4. Step 4: Simplify right side
    326.68x = 89,343.85
  5. Step 5: Solve for x
    x = 89,343.85/326.68
  6. Step 6: Final answer
    x = 273.49

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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.