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Finding the Fourth Proportional to 299.96, 413.92 and 169

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Solution

The fourth proportional to 299.96, 413.92 and 169 is: 233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.96 : 413.92 = 169 : x
  2. Step 2: Convert to fraction form
    299.96/413.92 = 169/x
  3. Step 3: Cross multiply
    299.96x = 413.92 × 169
  4. Step 4: Simplify right side
    299.96x = 69,952.48
  5. Step 5: Solve for x
    x = 69,952.48/299.96
  6. Step 6: Final answer
    x = 233.21

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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.