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Finding the Fourth Proportional to 326.83, 490.22 and 110.41

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Solution

The fourth proportional to 326.83, 490.22 and 110.41 is: 165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.83 : 490.22 = 110.41 : x
  2. Step 2: Convert to fraction form
    326.83/490.22 = 110.41/x
  3. Step 3: Cross multiply
    326.83x = 490.22 × 110.41
  4. Step 4: Simplify right side
    326.83x = 54,124.64
  5. Step 5: Solve for x
    x = 54,124.64/326.83
  6. Step 6: Final answer
    x = 165.60

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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.