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Finding the Fourth Proportional to 217.65, 326.61 and 197.40

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Solution

The fourth proportional to 217.65, 326.61 and 197.40 is: 296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.65 : 326.61 = 197.40 : x
  2. Step 2: Convert to fraction form
    217.65/326.61 = 197.40/x
  3. Step 3: Cross multiply
    217.65x = 326.61 × 197.40
  4. Step 4: Simplify right side
    217.65x = 64,472.81
  5. Step 5: Solve for x
    x = 64,472.81/217.65
  6. Step 6: Final answer
    x = 296.22

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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.