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Finding the Fourth Proportional to 299.64, 413.06 and 183

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Solution

The fourth proportional to 299.64, 413.06 and 183 is: 252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.64 : 413.06 = 183 : x
  2. Step 2: Convert to fraction form
    299.64/413.06 = 183/x
  3. Step 3: Cross multiply
    299.64x = 413.06 × 183
  4. Step 4: Simplify right side
    299.64x = 75,589.07
  5. Step 5: Solve for x
    x = 75,589.07/299.64
  6. Step 6: Final answer
    x = 252.27

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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.