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Finding the Fourth Proportional to 215.76, 323.60 and 107.44

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Solution

The fourth proportional to 215.76, 323.60 and 107.44 is: 161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.76 : 323.60 = 107.44 : x
  2. Step 2: Convert to fraction form
    215.76/323.60 = 107.44/x
  3. Step 3: Cross multiply
    215.76x = 323.60 × 107.44
  4. Step 4: Simplify right side
    215.76x = 34,767.58
  5. Step 5: Solve for x
    x = 34,767.58/215.76
  6. Step 6: Final answer
    x = 161.14

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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.