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Finding the Fourth Proportional to 299.33, 413.06 and 181.29

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Solution

The fourth proportional to 299.33, 413.06 and 181.29 is: 250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.33 : 413.06 = 181.29 : x
  2. Step 2: Convert to fraction form
    299.33/413.06 = 181.29/x
  3. Step 3: Cross multiply
    299.33x = 413.06 × 181.29
  4. Step 4: Simplify right side
    299.33x = 74,882.74
  5. Step 5: Solve for x
    x = 74,882.74/299.33
  6. Step 6: Final answer
    x = 250.17

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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.