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Finding the Fourth Proportional to 324.82, 487.36 and 142.09

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Solution

The fourth proportional to 324.82, 487.36 and 142.09 is: 213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.82 : 487.36 = 142.09 : x
  2. Step 2: Convert to fraction form
    324.82/487.36 = 142.09/x
  3. Step 3: Cross multiply
    324.82x = 487.36 × 142.09
  4. Step 4: Simplify right side
    324.82x = 69,247.94
  5. Step 5: Solve for x
    x = 69,247.94/324.82
  6. Step 6: Final answer
    x = 213.19

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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.