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Finding the Fourth Proportional to 299.49, 413.22 and 175.16

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Solution

The fourth proportional to 299.49, 413.22 and 175.16 is: 241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.49 : 413.22 = 175.16 : x
  2. Step 2: Convert to fraction form
    299.49/413.22 = 175.16/x
  3. Step 3: Cross multiply
    299.49x = 413.22 × 175.16
  4. Step 4: Simplify right side
    299.49x = 72,377.55
  5. Step 5: Solve for x
    x = 72,377.55/299.49
  6. Step 6: Final answer
    x = 241.67

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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.