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Finding the Fourth Proportional to 324.20, 447.46 and 193.22

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Solution

The fourth proportional to 324.20, 447.46 and 193.22 is: 266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.20 : 447.46 = 193.22 : x
  2. Step 2: Convert to fraction form
    324.20/447.46 = 193.22/x
  3. Step 3: Cross multiply
    324.20x = 447.46 × 193.22
  4. Step 4: Simplify right side
    324.20x = 86,457.18
  5. Step 5: Solve for x
    x = 86,457.18/324.20
  6. Step 6: Final answer
    x = 266.68

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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.