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Finding the Fourth Proportional to 215.75, 323.09 and 160.77

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Solution

The fourth proportional to 215.75, 323.09 and 160.77 is: 240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.75 : 323.09 = 160.77 : x
  2. Step 2: Convert to fraction form
    215.75/323.09 = 160.77/x
  3. Step 3: Cross multiply
    215.75x = 323.09 × 160.77
  4. Step 4: Simplify right side
    215.75x = 51,942.38
  5. Step 5: Solve for x
    x = 51,942.38/215.75
  6. Step 6: Final answer
    x = 240.76

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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.