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Finding the Fourth Proportional to 327.40, 490.78 and 154.19

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Solution

The fourth proportional to 327.40, 490.78 and 154.19 is: 231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.40 : 490.78 = 154.19 : x
  2. Step 2: Convert to fraction form
    327.40/490.78 = 154.19/x
  3. Step 3: Cross multiply
    327.40x = 490.78 × 154.19
  4. Step 4: Simplify right side
    327.40x = 75,673.37
  5. Step 5: Solve for x
    x = 75,673.37/327.40
  6. Step 6: Final answer
    x = 231.13

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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.