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Finding the Fourth Proportional to 299.92, 413.87 and 175.66

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Solution

The fourth proportional to 299.92, 413.87 and 175.66 is: 242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.92 : 413.87 = 175.66 : x
  2. Step 2: Convert to fraction form
    299.92/413.87 = 175.66/x
  3. Step 3: Cross multiply
    299.92x = 413.87 × 175.66
  4. Step 4: Simplify right side
    299.92x = 72,700.40
  5. Step 5: Solve for x
    x = 72,700.40/299.92
  6. Step 6: Final answer
    x = 242.40

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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.