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Finding the Fourth Proportional to 213.15, 294.03 and 125.81

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Solution

The fourth proportional to 213.15, 294.03 and 125.81 is: 173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.15 : 294.03 = 125.81 : x
  2. Step 2: Convert to fraction form
    213.15/294.03 = 125.81/x
  3. Step 3: Cross multiply
    213.15x = 294.03 × 125.81
  4. Step 4: Simplify right side
    213.15x = 36,990.44
  5. Step 5: Solve for x
    x = 36,990.44/213.15
  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.