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Finding the Fourth Proportional to 299.19, 413.00 and 188.83

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Solution

The fourth proportional to 299.19, 413.00 and 188.83 is: 260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.19 : 413.00 = 188.83 : x
  2. Step 2: Convert to fraction form
    299.19/413.00 = 188.83/x
  3. Step 3: Cross multiply
    299.19x = 413.00 × 188.83
  4. Step 4: Simplify right side
    299.19x = 77,987.07
  5. Step 5: Solve for x
    x = 77,987.07/299.19
  6. Step 6: Final answer
    x = 260.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.