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Finding the Fourth Proportional to 326.83, 490.11 and 144.09

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Solution

The fourth proportional to 326.83, 490.11 and 144.09 is: 216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.83 : 490.11 = 144.09 : x
  2. Step 2: Convert to fraction form
    326.83/490.11 = 144.09/x
  3. Step 3: Cross multiply
    326.83x = 490.11 × 144.09
  4. Step 4: Simplify right side
    326.83x = 70,622.33
  5. Step 5: Solve for x
    x = 70,622.33/326.83
  6. Step 6: Final answer
    x = 216.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.