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Finding the Fourth Proportional to 300.11, 413.91 and 182.12

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Solution

The fourth proportional to 300.11, 413.91 and 182.12 is: 251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.11 : 413.91 = 182.12 : x
  2. Step 2: Convert to fraction form
    300.11/413.91 = 182.12/x
  3. Step 3: Cross multiply
    300.11x = 413.91 × 182.12
  4. Step 4: Simplify right side
    300.11x = 75,379.22
  5. Step 5: Solve for x
    x = 75,379.22/300.11
  6. Step 6: Final answer
    x = 251.18

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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.