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Finding the Fourth Proportional to 192.79, 265.96 and 140.25

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Solution

The fourth proportional to 192.79, 265.96 and 140.25 is: 193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.79 : 265.96 = 140.25 : x
  2. Step 2: Convert to fraction form
    192.79/265.96 = 140.25/x
  3. Step 3: Cross multiply
    192.79x = 265.96 × 140.25
  4. Step 4: Simplify right side
    192.79x = 37,299.87
  5. Step 5: Solve for x
    x = 37,299.87/192.79
  6. Step 6: Final answer
    x = 193.47

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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.