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Finding the Fourth Proportional to 299.50, 413.11 and 188.77

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Solution

The fourth proportional to 299.50, 413.11 and 188.77 is: 260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.50 : 413.11 = 188.77 : x
  2. Step 2: Convert to fraction form
    299.50/413.11 = 188.77/x
  3. Step 3: Cross multiply
    299.50x = 413.11 × 188.77
  4. Step 4: Simplify right side
    299.50x = 77,982.77
  5. Step 5: Solve for x
    x = 77,982.77/299.50
  6. Step 6: Final answer
    x = 260.38

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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.