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Finding the Fourth Proportional to 299.31, 413.07 and 166.52

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Solution

The fourth proportional to 299.31, 413.07 and 166.52 is: 229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.31 : 413.07 = 166.52 : x
  2. Step 2: Convert to fraction form
    299.31/413.07 = 166.52/x
  3. Step 3: Cross multiply
    299.31x = 413.07 × 166.52
  4. Step 4: Simplify right side
    299.31x = 68,785.75
  5. Step 5: Solve for x
    x = 68,785.75/299.31
  6. Step 6: Final answer
    x = 229.82

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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.