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Finding the Fourth Proportional to 299.48, 413.37 and 175.14

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Solution

The fourth proportional to 299.48, 413.37 and 175.14 is: 241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.48 : 413.37 = 175.14 : x
  2. Step 2: Convert to fraction form
    299.48/413.37 = 175.14/x
  3. Step 3: Cross multiply
    299.48x = 413.37 × 175.14
  4. Step 4: Simplify right side
    299.48x = 72,397.62
  5. Step 5: Solve for x
    x = 72,397.62/299.48
  6. Step 6: Final answer
    x = 241.75

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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.