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Finding the Fourth Proportional to 299.82, 413.76 and 167.06

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Solution

The fourth proportional to 299.82, 413.76 and 167.06 is: 230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.82 : 413.76 = 167.06 : x
  2. Step 2: Convert to fraction form
    299.82/413.76 = 167.06/x
  3. Step 3: Cross multiply
    299.82x = 413.76 × 167.06
  4. Step 4: Simplify right side
    299.82x = 69,120.68
  5. Step 5: Solve for x
    x = 69,120.68/299.82
  6. Step 6: Final answer
    x = 230.54

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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.