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Finding the Fourth Proportional to 299.33, 413.09 and 225.52

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Solution

The fourth proportional to 299.33, 413.09 and 225.52 is: 311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.33 : 413.09 = 225.52 : x
  2. Step 2: Convert to fraction form
    299.33/413.09 = 225.52/x
  3. Step 3: Cross multiply
    299.33x = 413.09 × 225.52
  4. Step 4: Simplify right side
    299.33x = 93,161.59
  5. Step 5: Solve for x
    x = 93,161.59/299.33
  6. Step 6: Final answer
    x = 311.23

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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.