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Finding the Fourth Proportional to 323.01, 445.69 and 198.63

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Solution

The fourth proportional to 323.01, 445.69 and 198.63 is: 274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.01 : 445.69 = 198.63 : x
  2. Step 2: Convert to fraction form
    323.01/445.69 = 198.63/x
  3. Step 3: Cross multiply
    323.01x = 445.69 × 198.63
  4. Step 4: Simplify right side
    323.01x = 88,524.18
  5. Step 5: Solve for x
    x = 88,524.18/323.01
  6. Step 6: Final answer
    x = 274.06

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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.