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Finding the Fourth Proportional to 213.92, 295.26 and 126.64

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Solution

The fourth proportional to 213.92, 295.26 and 126.64 is: 174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.92 : 295.26 = 126.64 : x
  2. Step 2: Convert to fraction form
    213.92/295.26 = 126.64/x
  3. Step 3: Cross multiply
    213.92x = 295.26 × 126.64
  4. Step 4: Simplify right side
    213.92x = 37,390.25
  5. Step 5: Solve for x
    x = 37,390.25/213.92
  6. Step 6: Final answer
    x = 174.79

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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.