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Finding the Fourth Proportional to 322.84, 445.73 and 198.71

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Solution

The fourth proportional to 322.84, 445.73 and 198.71 is: 274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.84 : 445.73 = 198.71 : x
  2. Step 2: Convert to fraction form
    322.84/445.73 = 198.71/x
  3. Step 3: Cross multiply
    322.84x = 445.73 × 198.71
  4. Step 4: Simplify right side
    322.84x = 88,571.27
  5. Step 5: Solve for x
    x = 88,571.27/322.84
  6. Step 6: Final answer
    x = 274.35

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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.