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Finding the Fourth Proportional to 299.90, 413.87 and 175.65

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Solution

The fourth proportional to 299.90, 413.87 and 175.65 is: 242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.90 : 413.87 = 175.65 : x
  2. Step 2: Convert to fraction form
    299.90/413.87 = 175.65/x
  3. Step 3: Cross multiply
    299.90x = 413.87 × 175.65
  4. Step 4: Simplify right side
    299.90x = 72,698.59
  5. Step 5: Solve for x
    x = 72,698.59/299.90
  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.