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Finding the Fourth Proportional to 299.36, 413.06 and 188.97

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Solution

The fourth proportional to 299.36, 413.06 and 188.97 is: 260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.36 : 413.06 = 188.97 : x
  2. Step 2: Convert to fraction form
    299.36/413.06 = 188.97/x
  3. Step 3: Cross multiply
    299.36x = 413.06 × 188.97
  4. Step 4: Simplify right side
    299.36x = 78,055.00
  5. Step 5: Solve for x
    x = 78,055.00/299.36
  6. Step 6: Final answer
    x = 260.74

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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.