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Finding the Fourth Proportional to 299.78, 413.42 and 201.66

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Solution

The fourth proportional to 299.78, 413.42 and 201.66 is: 278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.78 : 413.42 = 201.66 : x
  2. Step 2: Convert to fraction form
    299.78/413.42 = 201.66/x
  3. Step 3: Cross multiply
    299.78x = 413.42 × 201.66
  4. Step 4: Simplify right side
    299.78x = 83,370.28
  5. Step 5: Solve for x
    x = 83,370.28/299.78
  6. Step 6: Final answer
    x = 278.10

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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.