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Finding the Fourth Proportional to 299.22, 413.10 and 201.06

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Solution

The fourth proportional to 299.22, 413.10 and 201.06 is: 277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.22 : 413.10 = 201.06 : x
  2. Step 2: Convert to fraction form
    299.22/413.10 = 201.06/x
  3. Step 3: Cross multiply
    299.22x = 413.10 × 201.06
  4. Step 4: Simplify right side
    299.22x = 83,057.89
  5. Step 5: Solve for x
    x = 83,057.89/299.22
  6. Step 6: Final answer
    x = 277.58

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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.