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Finding the Fourth Proportional to 217.40, 326.00 and 126.12

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Solution

The fourth proportional to 217.40, 326.00 and 126.12 is: 189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.40 : 326.00 = 126.12 : x
  2. Step 2: Convert to fraction form
    217.40/326.00 = 126.12/x
  3. Step 3: Cross multiply
    217.40x = 326.00 × 126.12
  4. Step 4: Simplify right side
    217.40x = 41,116.30
  5. Step 5: Solve for x
    x = 41,116.30/217.40
  6. Step 6: Final answer
    x = 189.13

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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.