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Finding the Fourth Proportional to 324.08, 447.04 and 193

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Solution

The fourth proportional to 324.08, 447.04 and 193 is: 266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.08 : 447.04 = 193 : x
  2. Step 2: Convert to fraction form
    324.08/447.04 = 193/x
  3. Step 3: Cross multiply
    324.08x = 447.04 × 193
  4. Step 4: Simplify right side
    324.08x = 86,278.72
  5. Step 5: Solve for x
    x = 86,278.72/324.08
  6. Step 6: Final answer
    x = 266.23

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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.