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Finding the Fourth Proportional to 213.94, 295.14 and 126.61

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Solution

The fourth proportional to 213.94, 295.14 and 126.61 is: 174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.94 : 295.14 = 126.61 : x
  2. Step 2: Convert to fraction form
    213.94/295.14 = 126.61/x
  3. Step 3: Cross multiply
    213.94x = 295.14 × 126.61
  4. Step 4: Simplify right side
    213.94x = 37,367.68
  5. Step 5: Solve for x
    x = 37,367.68/213.94
  6. Step 6: Final answer
    x = 174.66

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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.