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Finding the Fourth Proportional to 217.84, 327.02 and 160.44

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Solution

The fourth proportional to 217.84, 327.02 and 160.44 is: 240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.84 : 327.02 = 160.44 : x
  2. Step 2: Convert to fraction form
    217.84/327.02 = 160.44/x
  3. Step 3: Cross multiply
    217.84x = 327.02 × 160.44
  4. Step 4: Simplify right side
    217.84x = 52,467.09
  5. Step 5: Solve for x
    x = 52,467.09/217.84
  6. Step 6: Final answer
    x = 240.85

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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.