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Finding the Fourth Proportional to 294.30, 406.09 and 163.29

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Solution

The fourth proportional to 294.30, 406.09 and 163.29 is: 225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.30 : 406.09 = 163.29 : x
  2. Step 2: Convert to fraction form
    294.30/406.09 = 163.29/x
  3. Step 3: Cross multiply
    294.30x = 406.09 × 163.29
  4. Step 4: Simplify right side
    294.30x = 66,310.44
  5. Step 5: Solve for x
    x = 66,310.44/294.30
  6. Step 6: Final answer
    x = 225.32

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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.