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Finding the Fourth Proportional to 324.19, 447.61 and 199.88

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Solution

The fourth proportional to 324.19, 447.61 and 199.88 is: 275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.19 : 447.61 = 199.88 : x
  2. Step 2: Convert to fraction form
    324.19/447.61 = 199.88/x
  3. Step 3: Cross multiply
    324.19x = 447.61 × 199.88
  4. Step 4: Simplify right side
    324.19x = 89,468.41
  5. Step 5: Solve for x
    x = 89,468.41/324.19
  6. Step 6: Final answer
    x = 275.98

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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.