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Finding the Fourth Proportional to 215.96, 323.76 and 94.13

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Solution

The fourth proportional to 215.96, 323.76 and 94.13 is: 141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.96 : 323.76 = 94.13 : x
  2. Step 2: Convert to fraction form
    215.96/323.76 = 94.13/x
  3. Step 3: Cross multiply
    215.96x = 323.76 × 94.13
  4. Step 4: Simplify right side
    215.96x = 30,474.68
  5. Step 5: Solve for x
    x = 30,474.68/215.96
  6. Step 6: Final answer
    x = 141.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.