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Finding the Fourth Proportional to 213.14, 294.05 and 125.79

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Solution

The fourth proportional to 213.14, 294.05 and 125.79 is: 173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.14 : 294.05 = 125.79 : x
  2. Step 2: Convert to fraction form
    213.14/294.05 = 125.79/x
  3. Step 3: Cross multiply
    213.14x = 294.05 × 125.79
  4. Step 4: Simplify right side
    213.14x = 36,987.92
  5. Step 5: Solve for x
    x = 36,987.92/213.14
  6. Step 6: Final answer
    x = 173.54

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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.