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Finding the Fourth Proportional to 299.78, 413.52 and 201.62

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Solution

The fourth proportional to 299.78, 413.52 and 201.62 is: 278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.78 : 413.52 = 201.62 : x
  2. Step 2: Convert to fraction form
    299.78/413.52 = 201.62/x
  3. Step 3: Cross multiply
    299.78x = 413.52 × 201.62
  4. Step 4: Simplify right side
    299.78x = 83,373.90
  5. Step 5: Solve for x
    x = 83,373.90/299.78
  6. Step 6: Final answer
    x = 278.12

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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.