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Finding the Fourth Proportional to 299.80, 413.76 and 175.42

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Solution

The fourth proportional to 299.80, 413.76 and 175.42 is: 242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.80 : 413.76 = 175.42 : x
  2. Step 2: Convert to fraction form
    299.80/413.76 = 175.42/x
  3. Step 3: Cross multiply
    299.80x = 413.76 × 175.42
  4. Step 4: Simplify right side
    299.80x = 72,581.78
  5. Step 5: Solve for x
    x = 72,581.78/299.80
  6. Step 6: Final answer
    x = 242.10

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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.