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Finding the Fourth Proportional to 215.49, 323.24 and 107.27

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Solution

The fourth proportional to 215.49, 323.24 and 107.27 is: 160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.49 : 323.24 = 107.27 : x
  2. Step 2: Convert to fraction form
    215.49/323.24 = 107.27/x
  3. Step 3: Cross multiply
    215.49x = 323.24 × 107.27
  4. Step 4: Simplify right side
    215.49x = 34,671.80
  5. Step 5: Solve for x
    x = 34,671.80/215.49
  6. Step 6: Final answer
    x = 160.90

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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.