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Finding the Fourth Proportional to 299.30, 413.02 and 201.04

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Solution

The fourth proportional to 299.30, 413.02 and 201.04 is: 277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.30 : 413.02 = 201.04 : x
  2. Step 2: Convert to fraction form
    299.30/413.02 = 201.04/x
  3. Step 3: Cross multiply
    299.30x = 413.02 × 201.04
  4. Step 4: Simplify right side
    299.30x = 83,033.54
  5. Step 5: Solve for x
    x = 83,033.54/299.30
  6. Step 6: Final answer
    x = 277.43

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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.