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Finding the Fourth Proportional to 324.73, 448.05 and 193.78

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Solution

The fourth proportional to 324.73, 448.05 and 193.78 is: 267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.73 : 448.05 = 193.78 : x
  2. Step 2: Convert to fraction form
    324.73/448.05 = 193.78/x
  3. Step 3: Cross multiply
    324.73x = 448.05 × 193.78
  4. Step 4: Simplify right side
    324.73x = 86,823.13
  5. Step 5: Solve for x
    x = 86,823.13/324.73
  6. Step 6: Final answer
    x = 267.37

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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.