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Finding the Fourth Proportional to 324.92, 448.19 and 198.83

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Solution

The fourth proportional to 324.92, 448.19 and 198.83 is: 274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.92 : 448.19 = 198.83 : x
  2. Step 2: Convert to fraction form
    324.92/448.19 = 198.83/x
  3. Step 3: Cross multiply
    324.92x = 448.19 × 198.83
  4. Step 4: Simplify right side
    324.92x = 89,113.62
  5. Step 5: Solve for x
    x = 89,113.62/324.92
  6. Step 6: Final answer
    x = 274.26

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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.