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Finding the Fourth Proportional to 299.78, 413.63 and 201.82

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Solution

The fourth proportional to 299.78, 413.63 and 201.82 is: 278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.78 : 413.63 = 201.82 : x
  2. Step 2: Convert to fraction form
    299.78/413.63 = 201.82/x
  3. Step 3: Cross multiply
    299.78x = 413.63 × 201.82
  4. Step 4: Simplify right side
    299.78x = 83,476.76
  5. Step 5: Solve for x
    x = 83,476.76/299.78
  6. Step 6: Final answer
    x = 278.46

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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.