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Finding the Fourth Proportional to 300.25, 414.46 and 196.75

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Solution

The fourth proportional to 300.25, 414.46 and 196.75 is: 271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.25 : 414.46 = 196.75 : x
  2. Step 2: Convert to fraction form
    300.25/414.46 = 196.75/x
  3. Step 3: Cross multiply
    300.25x = 414.46 × 196.75
  4. Step 4: Simplify right side
    300.25x = 81,545.01
  5. Step 5: Solve for x
    x = 81,545.01/300.25
  6. Step 6: Final answer
    x = 271.59

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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.