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Finding the Fourth Proportional to 299.93, 414.05 and 201.78

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Solution

The fourth proportional to 299.93, 414.05 and 201.78 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.93 : 414.05 = 201.78 : x
  2. Step 2: Convert to fraction form
    299.93/414.05 = 201.78/x
  3. Step 3: Cross multiply
    299.93x = 414.05 × 201.78
  4. Step 4: Simplify right side
    299.93x = 83,546.00
  5. Step 5: Solve for x
    x = 83,546.00/299.93
  6. Step 6: Final answer
    x = 278.56

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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.