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Finding the Fourth Proportional to 294.30, 406.13 and 169.97

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Solution

The fourth proportional to 294.30, 406.13 and 169.97 is: 234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.30 : 406.13 = 169.97 : x
  2. Step 2: Convert to fraction form
    294.30/406.13 = 169.97/x
  3. Step 3: Cross multiply
    294.30x = 406.13 × 169.97
  4. Step 4: Simplify right side
    294.30x = 69,027.04
  5. Step 5: Solve for x
    x = 69,027.04/294.30
  6. Step 6: Final answer
    x = 234.55

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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.