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Finding the Fourth Proportional to 299.43, 413.31 and 175.14

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Solution

The fourth proportional to 299.43, 413.31 and 175.14 is: 241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.43 : 413.31 = 175.14 : x
  2. Step 2: Convert to fraction form
    299.43/413.31 = 175.14/x
  3. Step 3: Cross multiply
    299.43x = 413.31 × 175.14
  4. Step 4: Simplify right side
    299.43x = 72,387.11
  5. Step 5: Solve for x
    x = 72,387.11/299.43
  6. Step 6: Final answer
    x = 241.75

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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.