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Finding the Fourth Proportional to 217.71, 325.76 and 131.09

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Solution

The fourth proportional to 217.71, 325.76 and 131.09 is: 196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.71 : 325.76 = 131.09 : x
  2. Step 2: Convert to fraction form
    217.71/325.76 = 131.09/x
  3. Step 3: Cross multiply
    217.71x = 325.76 × 131.09
  4. Step 4: Simplify right side
    217.71x = 42,701.59
  5. Step 5: Solve for x
    x = 42,701.59/217.71
  6. Step 6: Final answer
    x = 196.14

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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.