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Finding the Fourth Proportional to 324.82, 487.24 and 132.31

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Solution

The fourth proportional to 324.82, 487.24 and 132.31 is: 198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.82 : 487.24 = 132.31 : x
  2. Step 2: Convert to fraction form
    324.82/487.24 = 132.31/x
  3. Step 3: Cross multiply
    324.82x = 487.24 × 132.31
  4. Step 4: Simplify right side
    324.82x = 64,466.72
  5. Step 5: Solve for x
    x = 64,466.72/324.82
  6. Step 6: Final answer
    x = 198.47

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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.