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Finding the Fourth Proportional to 192.72, 266.05 and 142.29

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Solution

The fourth proportional to 192.72, 266.05 and 142.29 is: 196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.72 : 266.05 = 142.29 : x
  2. Step 2: Convert to fraction form
    192.72/266.05 = 142.29/x
  3. Step 3: Cross multiply
    192.72x = 266.05 × 142.29
  4. Step 4: Simplify right side
    192.72x = 37,856.25
  5. Step 5: Solve for x
    x = 37,856.25/192.72
  6. Step 6: Final answer
    x = 196.43

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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.