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Finding the Fourth Proportional to 299.82, 413.75 and 167.04

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Solution

The fourth proportional to 299.82, 413.75 and 167.04 is: 230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.82 : 413.75 = 167.04 : x
  2. Step 2: Convert to fraction form
    299.82/413.75 = 167.04/x
  3. Step 3: Cross multiply
    299.82x = 413.75 × 167.04
  4. Step 4: Simplify right side
    299.82x = 69,115.02
  5. Step 5: Solve for x
    x = 69,115.02/299.82
  6. Step 6: Final answer
    x = 230.52

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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.