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Finding the Fourth Proportional to 192.92, 266.27 and 140.46

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Solution

The fourth proportional to 192.92, 266.27 and 140.46 is: 193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.92 : 266.27 = 140.46 : x
  2. Step 2: Convert to fraction form
    192.92/266.27 = 140.46/x
  3. Step 3: Cross multiply
    192.92x = 266.27 × 140.46
  4. Step 4: Simplify right side
    192.92x = 37,399.58
  5. Step 5: Solve for x
    x = 37,399.58/192.92
  6. Step 6: Final answer
    x = 193.87

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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.