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Finding the Fourth Proportional to 213.30, 294.34 and 125.97

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Solution

The fourth proportional to 213.30, 294.34 and 125.97 is: 173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.30 : 294.34 = 125.97 : x
  2. Step 2: Convert to fraction form
    213.30/294.34 = 125.97/x
  3. Step 3: Cross multiply
    213.30x = 294.34 × 125.97
  4. Step 4: Simplify right side
    213.30x = 37,078.01
  5. Step 5: Solve for x
    x = 37,078.01/213.30
  6. Step 6: Final answer
    x = 173.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.