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Finding the Fourth Proportional to 323.06, 445.90 and 198.82

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Solution

The fourth proportional to 323.06, 445.90 and 198.82 is: 274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.06 : 445.90 = 198.82 : x
  2. Step 2: Convert to fraction form
    323.06/445.90 = 198.82/x
  3. Step 3: Cross multiply
    323.06x = 445.90 × 198.82
  4. Step 4: Simplify right side
    323.06x = 88,653.84
  5. Step 5: Solve for x
    x = 88,653.84/323.06
  6. Step 6: Final answer
    x = 274.42

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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.