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Finding the Fourth Proportional to 299.39, 413.17 and 181.39

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Solution

The fourth proportional to 299.39, 413.17 and 181.39 is: 250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.39 : 413.17 = 181.39 : x
  2. Step 2: Convert to fraction form
    299.39/413.17 = 181.39/x
  3. Step 3: Cross multiply
    299.39x = 413.17 × 181.39
  4. Step 4: Simplify right side
    299.39x = 74,946.09
  5. Step 5: Solve for x
    x = 74,946.09/299.39
  6. Step 6: Final answer
    x = 250.33

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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.