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Finding the Fourth Proportional to 324.92, 448.42 and 185.08

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Solution

The fourth proportional to 324.92, 448.42 and 185.08 is: 255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.92 : 448.42 = 185.08 : x
  2. Step 2: Convert to fraction form
    324.92/448.42 = 185.08/x
  3. Step 3: Cross multiply
    324.92x = 448.42 × 185.08
  4. Step 4: Simplify right side
    324.92x = 82,993.57
  5. Step 5: Solve for x
    x = 82,993.57/324.92
  6. Step 6: Final answer
    x = 255.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.