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Finding the Fourth Proportional to 299.52, 413.33 and 175.19

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Solution

The fourth proportional to 299.52, 413.33 and 175.19 is: 241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.52 : 413.33 = 175.19 : x
  2. Step 2: Convert to fraction form
    299.52/413.33 = 175.19/x
  3. Step 3: Cross multiply
    299.52x = 413.33 × 175.19
  4. Step 4: Simplify right side
    299.52x = 72,408.34
  5. Step 5: Solve for x
    x = 72,408.34/299.52
  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.