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Finding the Fourth Proportional to 217.65, 325.80 and 126.39

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Solution

The fourth proportional to 217.65, 325.80 and 126.39 is: 189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.65 : 325.80 = 126.39 : x
  2. Step 2: Convert to fraction form
    217.65/325.80 = 126.39/x
  3. Step 3: Cross multiply
    217.65x = 325.80 × 126.39
  4. Step 4: Simplify right side
    217.65x = 41,177.86
  5. Step 5: Solve for x
    x = 41,177.86/217.65
  6. Step 6: Final answer
    x = 189.19

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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.