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Finding the Fourth Proportional to 324.87, 486.92 and 119.31

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Solution

The fourth proportional to 324.87, 486.92 and 119.31 is: 178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.87 : 486.92 = 119.31 : x
  2. Step 2: Convert to fraction form
    324.87/486.92 = 119.31/x
  3. Step 3: Cross multiply
    324.87x = 486.92 × 119.31
  4. Step 4: Simplify right side
    324.87x = 58,094.43
  5. Step 5: Solve for x
    x = 58,094.43/324.87
  6. Step 6: Final answer
    x = 178.82

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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.