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Finding the Fourth Proportional to 299.86, 413.82 and 165.26

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Solution

The fourth proportional to 299.86, 413.82 and 165.26 is: 228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.86 : 413.82 = 165.26 : x
  2. Step 2: Convert to fraction form
    299.86/413.82 = 165.26/x
  3. Step 3: Cross multiply
    299.86x = 413.82 × 165.26
  4. Step 4: Simplify right side
    299.86x = 68,387.58
  5. Step 5: Solve for x
    x = 68,387.58/299.86
  6. Step 6: Final answer
    x = 228.07

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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.