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Finding the Fourth Proportional to 217.73, 300.35 and 185.33

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Solution

The fourth proportional to 217.73, 300.35 and 185.33 is: 255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.73 : 300.35 = 185.33 : x
  2. Step 2: Convert to fraction form
    217.73/300.35 = 185.33/x
  3. Step 3: Cross multiply
    217.73x = 300.35 × 185.33
  4. Step 4: Simplify right side
    217.73x = 55,661.44
  5. Step 5: Solve for x
    x = 55,661.44/217.73
  6. Step 6: Final answer
    x = 255.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.