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Finding the Fourth Proportional to 299.41, 413.14 and 175.06

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Solution

The fourth proportional to 299.41, 413.14 and 175.06 is: 241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.41 : 413.14 = 175.06 : x
  2. Step 2: Convert to fraction form
    299.41/413.14 = 175.06/x
  3. Step 3: Cross multiply
    299.41x = 413.14 × 175.06
  4. Step 4: Simplify right side
    299.41x = 72,324.29
  5. Step 5: Solve for x
    x = 72,324.29/299.41
  6. Step 6: Final answer
    x = 241.56

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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.