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Finding the Fourth Proportional to 299.76, 413.82 and 216.96

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Solution

The fourth proportional to 299.76, 413.82 and 216.96 is: 299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.76 : 413.82 = 216.96 : x
  2. Step 2: Convert to fraction form
    299.76/413.82 = 216.96/x
  3. Step 3: Cross multiply
    299.76x = 413.82 × 216.96
  4. Step 4: Simplify right side
    299.76x = 89,782.39
  5. Step 5: Solve for x
    x = 89,782.39/299.76
  6. Step 6: Final answer
    x = 299.51

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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.