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Finding the Fourth Proportional to 299.47, 413.17 and 175.11

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Solution

The fourth proportional to 299.47, 413.17 and 175.11 is: 241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.47 : 413.17 = 175.11 : x
  2. Step 2: Convert to fraction form
    299.47/413.17 = 175.11/x
  3. Step 3: Cross multiply
    299.47x = 413.17 × 175.11
  4. Step 4: Simplify right side
    299.47x = 72,350.90
  5. Step 5: Solve for x
    x = 72,350.90/299.47
  6. Step 6: Final answer
    x = 241.60

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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.