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Finding the Fourth Proportional to 299.19, 413.08 and 211.71

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Solution

The fourth proportional to 299.19, 413.08 and 211.71 is: 292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.19 : 413.08 = 211.71 : x
  2. Step 2: Convert to fraction form
    299.19/413.08 = 211.71/x
  3. Step 3: Cross multiply
    299.19x = 413.08 × 211.71
  4. Step 4: Simplify right side
    299.19x = 87,452.66
  5. Step 5: Solve for x
    x = 87,452.66/299.19
  6. Step 6: Final answer
    x = 292.30

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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.