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Finding the Fourth Proportional to 213.57, 294.63 and 126.20

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Solution

The fourth proportional to 213.57, 294.63 and 126.20 is: 174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.57 : 294.63 = 126.20 : x
  2. Step 2: Convert to fraction form
    213.57/294.63 = 126.20/x
  3. Step 3: Cross multiply
    213.57x = 294.63 × 126.20
  4. Step 4: Simplify right side
    213.57x = 37,180.83
  5. Step 5: Solve for x
    x = 37,180.83/213.57
  6. Step 6: Final answer
    x = 174.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.