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Finding the Fourth Proportional to 324.21, 447.37 and 193.19

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Solution

The fourth proportional to 324.21, 447.37 and 193.19 is: 266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.21 : 447.37 = 193.19 : x
  2. Step 2: Convert to fraction form
    324.21/447.37 = 193.19/x
  3. Step 3: Cross multiply
    324.21x = 447.37 × 193.19
  4. Step 4: Simplify right side
    324.21x = 86,426.37
  5. Step 5: Solve for x
    x = 86,426.37/324.21
  6. Step 6: Final answer
    x = 266.58

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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.