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Finding the Fourth Proportional to 192.93, 266.07 and 140.82

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Solution

The fourth proportional to 192.93, 266.07 and 140.82 is: 194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.93 : 266.07 = 140.82 : x
  2. Step 2: Convert to fraction form
    192.93/266.07 = 140.82/x
  3. Step 3: Cross multiply
    192.93x = 266.07 × 140.82
  4. Step 4: Simplify right side
    192.93x = 37,467.98
  5. Step 5: Solve for x
    x = 37,467.98/192.93
  6. Step 6: Final answer
    x = 194.21

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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.