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Finding the Fourth Proportional to 192.88, 266.39 and 140.66

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Solution

The fourth proportional to 192.88, 266.39 and 140.66 is: 194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.88 : 266.39 = 140.66 : x
  2. Step 2: Convert to fraction form
    192.88/266.39 = 140.66/x
  3. Step 3: Cross multiply
    192.88x = 266.39 × 140.66
  4. Step 4: Simplify right side
    192.88x = 37,469.09
  5. Step 5: Solve for x
    x = 37,469.09/192.88
  6. Step 6: Final answer
    x = 194.27

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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.