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Finding the Fourth Proportional to 215.81, 323.74 and 78.83

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Solution

The fourth proportional to 215.81, 323.74 and 78.83 is: 118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.81 : 323.74 = 78.83 : x
  2. Step 2: Convert to fraction form
    215.81/323.74 = 78.83/x
  3. Step 3: Cross multiply
    215.81x = 323.74 × 78.83
  4. Step 4: Simplify right side
    215.81x = 25,520.42
  5. Step 5: Solve for x
    x = 25,520.42/215.81
  6. Step 6: Final answer
    x = 118.25

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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.