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Finding the Fourth Proportional to 299.84, 413.74 and 167.03

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Solution

The fourth proportional to 299.84, 413.74 and 167.03 is: 230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.84 : 413.74 = 167.03 : x
  2. Step 2: Convert to fraction form
    299.84/413.74 = 167.03/x
  3. Step 3: Cross multiply
    299.84x = 413.74 × 167.03
  4. Step 4: Simplify right side
    299.84x = 69,104.51
  5. Step 5: Solve for x
    x = 69,104.51/299.84
  6. Step 6: Final answer
    x = 230.48

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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.