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Finding the Fourth Proportional to 299.72, 413.53 and 166.94

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Solution

The fourth proportional to 299.72, 413.53 and 166.94 is: 230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.72 : 413.53 = 166.94 : x
  2. Step 2: Convert to fraction form
    299.72/413.53 = 166.94/x
  3. Step 3: Cross multiply
    299.72x = 413.53 × 166.94
  4. Step 4: Simplify right side
    299.72x = 69,035.31
  5. Step 5: Solve for x
    x = 69,035.31/299.72
  6. Step 6: Final answer
    x = 230.34

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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.