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Finding the Fourth Proportional to 213.52, 294.56 and 126.16

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Solution

The fourth proportional to 213.52, 294.56 and 126.16 is: 174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.52 : 294.56 = 126.16 : x
  2. Step 2: Convert to fraction form
    213.52/294.56 = 126.16/x
  3. Step 3: Cross multiply
    213.52x = 294.56 × 126.16
  4. Step 4: Simplify right side
    213.52x = 37,161.69
  5. Step 5: Solve for x
    x = 37,161.69/213.52
  6. Step 6: Final answer
    x = 174.04

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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.