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Finding the Fourth Proportional to 213.82, 319.16 and 198.17

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Solution

The fourth proportional to 213.82, 319.16 and 198.17 is: 295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.82 : 319.16 = 198.17 : x
  2. Step 2: Convert to fraction form
    213.82/319.16 = 198.17/x
  3. Step 3: Cross multiply
    213.82x = 319.16 × 198.17
  4. Step 4: Simplify right side
    213.82x = 63,245.35
  5. Step 5: Solve for x
    x = 63,245.35/213.82
  6. Step 6: Final answer
    x = 295.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.