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Finding the Fourth Proportional to 299.37, 413.15 and 166.61

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Solution

The fourth proportional to 299.37, 413.15 and 166.61 is: 229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.37 : 413.15 = 166.61 : x
  2. Step 2: Convert to fraction form
    299.37/413.15 = 166.61/x
  3. Step 3: Cross multiply
    299.37x = 413.15 × 166.61
  4. Step 4: Simplify right side
    299.37x = 68,834.92
  5. Step 5: Solve for x
    x = 68,834.92/299.37
  6. Step 6: Final answer
    x = 229.93

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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.