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Finding the Fourth Proportional to 299.62, 413.45 and 175.34

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Solution

The fourth proportional to 299.62, 413.45 and 175.34 is: 241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.62 : 413.45 = 175.34 : x
  2. Step 2: Convert to fraction form
    299.62/413.45 = 175.34/x
  3. Step 3: Cross multiply
    299.62x = 413.45 × 175.34
  4. Step 4: Simplify right side
    299.62x = 72,494.32
  5. Step 5: Solve for x
    x = 72,494.32/299.62
  6. Step 6: Final answer
    x = 241.95

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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.