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Finding the Fourth Proportional to 299.52, 413.34 and 168.53

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Solution

The fourth proportional to 299.52, 413.34 and 168.53 is: 232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.52 : 413.34 = 168.53 : x
  2. Step 2: Convert to fraction form
    299.52/413.34 = 168.53/x
  3. Step 3: Cross multiply
    299.52x = 413.34 × 168.53
  4. Step 4: Simplify right side
    299.52x = 69,659.16
  5. Step 5: Solve for x
    x = 69,659.16/299.52
  6. Step 6: Final answer
    x = 232.57

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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.