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Finding the Fourth Proportional to 324.60, 487.02 and 119.16

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Solution

The fourth proportional to 324.60, 487.02 and 119.16 is: 178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.60 : 487.02 = 119.16 : x
  2. Step 2: Convert to fraction form
    324.60/487.02 = 119.16/x
  3. Step 3: Cross multiply
    324.60x = 487.02 × 119.16
  4. Step 4: Simplify right side
    324.60x = 58,033.30
  5. Step 5: Solve for x
    x = 58,033.30/324.60
  6. Step 6: Final answer
    x = 178.78

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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.