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Finding the Fourth Proportional to 324.86, 487.22 and 119.42

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Solution

The fourth proportional to 324.86, 487.22 and 119.42 is: 179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.86 : 487.22 = 119.42 : x
  2. Step 2: Convert to fraction form
    324.86/487.22 = 119.42/x
  3. Step 3: Cross multiply
    324.86x = 487.22 × 119.42
  4. Step 4: Simplify right side
    324.86x = 58,182.61
  5. Step 5: Solve for x
    x = 58,182.61/324.86
  6. Step 6: Final answer
    x = 179.10

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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.