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Finding the Fourth Proportional to 299.70, 413.46 and 201.47

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Solution

The fourth proportional to 299.70, 413.46 and 201.47 is: 277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.70 : 413.46 = 201.47 : x
  2. Step 2: Convert to fraction form
    299.70/413.46 = 201.47/x
  3. Step 3: Cross multiply
    299.70x = 413.46 × 201.47
  4. Step 4: Simplify right side
    299.70x = 83,297.72
  5. Step 5: Solve for x
    x = 83,297.72/299.70
  6. Step 6: Final answer
    x = 277.94

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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.