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Finding the Fourth Proportional to 299.99, 413.98 and 175.66

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Solution

The fourth proportional to 299.99, 413.98 and 175.66 is: 242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.99 : 413.98 = 175.66 : x
  2. Step 2: Convert to fraction form
    299.99/413.98 = 175.66/x
  3. Step 3: Cross multiply
    299.99x = 413.98 × 175.66
  4. Step 4: Simplify right side
    299.99x = 72,719.73
  5. Step 5: Solve for x
    x = 72,719.73/299.99
  6. Step 6: Final answer
    x = 242.41

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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.