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Finding the Fourth Proportional to 324.24, 447.42 and 184.38

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Solution

The fourth proportional to 324.24, 447.42 and 184.38 is: 254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.24 : 447.42 = 184.38 : x
  2. Step 2: Convert to fraction form
    324.24/447.42 = 184.38/x
  3. Step 3: Cross multiply
    324.24x = 447.42 × 184.38
  4. Step 4: Simplify right side
    324.24x = 82,494.31
  5. Step 5: Solve for x
    x = 82,494.31/324.24
  6. Step 6: Final answer
    x = 254.43

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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.