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Finding the Fourth Proportional to 299.66, 413.52 and 201.38

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Solution

The fourth proportional to 299.66, 413.52 and 201.38 is: 277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.66 : 413.52 = 201.38 : x
  2. Step 2: Convert to fraction form
    299.66/413.52 = 201.38/x
  3. Step 3: Cross multiply
    299.66x = 413.52 × 201.38
  4. Step 4: Simplify right side
    299.66x = 83,274.66
  5. Step 5: Solve for x
    x = 83,274.66/299.66
  6. Step 6: Final answer
    x = 277.90

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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.