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Finding the Fourth Proportional to 215.44, 323.22 and 93.84

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Solution

The fourth proportional to 215.44, 323.22 and 93.84 is: 140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.44 : 323.22 = 93.84 : x
  2. Step 2: Convert to fraction form
    215.44/323.22 = 93.84/x
  3. Step 3: Cross multiply
    215.44x = 323.22 × 93.84
  4. Step 4: Simplify right side
    215.44x = 30,330.96
  5. Step 5: Solve for x
    x = 30,330.96/215.44
  6. Step 6: Final answer
    x = 140.79

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Why These Related Problems?

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