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Finding the Fourth Proportional to 192.22, 265.26 and 126.61

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Solution

The fourth proportional to 192.22, 265.26 and 126.61 is: 174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.22 : 265.26 = 126.61 : x
  2. Step 2: Convert to fraction form
    192.22/265.26 = 126.61/x
  3. Step 3: Cross multiply
    192.22x = 265.26 × 126.61
  4. Step 4: Simplify right side
    192.22x = 33,584.57
  5. Step 5: Solve for x
    x = 33,584.57/192.22
  6. Step 6: Final answer
    x = 174.72

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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.