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Finding the Fourth Proportional to 213.36, 294.47 and 126.09

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Solution

The fourth proportional to 213.36, 294.47 and 126.09 is: 174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.36 : 294.47 = 126.09 : x
  2. Step 2: Convert to fraction form
    213.36/294.47 = 126.09/x
  3. Step 3: Cross multiply
    213.36x = 294.47 × 126.09
  4. Step 4: Simplify right side
    213.36x = 37,129.72
  5. Step 5: Solve for x
    x = 37,129.72/213.36
  6. Step 6: Final answer
    x = 174.02

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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.