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Finding the Fourth Proportional to 299.91, 413.91 and 175.59

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Solution

The fourth proportional to 299.91, 413.91 and 175.59 is: 242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.91 : 413.91 = 175.59 : x
  2. Step 2: Convert to fraction form
    299.91/413.91 = 175.59/x
  3. Step 3: Cross multiply
    299.91x = 413.91 × 175.59
  4. Step 4: Simplify right side
    299.91x = 72,678.46
  5. Step 5: Solve for x
    x = 72,678.46/299.91
  6. Step 6: Final answer
    x = 242.33

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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.