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Finding the Fourth Proportional to 213.19, 294.25 and 125.91

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Solution

The fourth proportional to 213.19, 294.25 and 125.91 is: 173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.19 : 294.25 = 125.91 : x
  2. Step 2: Convert to fraction form
    213.19/294.25 = 125.91/x
  3. Step 3: Cross multiply
    213.19x = 294.25 × 125.91
  4. Step 4: Simplify right side
    213.19x = 37,049.02
  5. Step 5: Solve for x
    x = 37,049.02/213.19
  6. Step 6: Final answer
    x = 173.78

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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.