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Finding the Fourth Proportional to 324.30, 447.30 and 193.22

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Solution

The fourth proportional to 324.30, 447.30 and 193.22 is: 266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.30 : 447.30 = 193.22 : x
  2. Step 2: Convert to fraction form
    324.30/447.30 = 193.22/x
  3. Step 3: Cross multiply
    324.30x = 447.30 × 193.22
  4. Step 4: Simplify right side
    324.30x = 86,427.31
  5. Step 5: Solve for x
    x = 86,427.31/324.30
  6. Step 6: Final answer
    x = 266.50

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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.