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Finding the Fourth Proportional to 213.56, 294.57 and 126.17

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Solution

The fourth proportional to 213.56, 294.57 and 126.17 is: 174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.56 : 294.57 = 126.17 : x
  2. Step 2: Convert to fraction form
    213.56/294.57 = 126.17/x
  3. Step 3: Cross multiply
    213.56x = 294.57 × 126.17
  4. Step 4: Simplify right side
    213.56x = 37,164.42
  5. Step 5: Solve for x
    x = 37,164.42/213.56
  6. Step 6: Final answer
    x = 174.03

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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.