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Finding the Fourth Proportional to 299.88, 414.01 and 196.56

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Solution

The fourth proportional to 299.88, 414.01 and 196.56 is: 271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.88 : 414.01 = 196.56 : x
  2. Step 2: Convert to fraction form
    299.88/414.01 = 196.56/x
  3. Step 3: Cross multiply
    299.88x = 414.01 × 196.56
  4. Step 4: Simplify right side
    299.88x = 81,377.81
  5. Step 5: Solve for x
    x = 81,377.81/299.88
  6. Step 6: Final answer
    x = 271.37

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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.