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Finding the Fourth Proportional to 299.21, 413.19 and 237.02

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Solution

The fourth proportional to 299.21, 413.19 and 237.02 is: 327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.21 : 413.19 = 237.02 : x
  2. Step 2: Convert to fraction form
    299.21/413.19 = 237.02/x
  3. Step 3: Cross multiply
    299.21x = 413.19 × 237.02
  4. Step 4: Simplify right side
    299.21x = 97,932.23
  5. Step 5: Solve for x
    x = 97,932.23/299.21
  6. Step 6: Final answer
    x = 327.31

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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.