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Finding the Fourth Proportional to 217.81, 326.91 and 194.64

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Solution

The fourth proportional to 217.81, 326.91 and 194.64 is: 292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.81 : 326.91 = 194.64 : x
  2. Step 2: Convert to fraction form
    217.81/326.91 = 194.64/x
  3. Step 3: Cross multiply
    217.81x = 326.91 × 194.64
  4. Step 4: Simplify right side
    217.81x = 63,628.72
  5. Step 5: Solve for x
    x = 63,628.72/217.81
  6. Step 6: Final answer
    x = 292.13

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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.