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Finding the Fourth Proportional to 192.03, 264.81 and 142.80

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Solution

The fourth proportional to 192.03, 264.81 and 142.80 is: 196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.03 : 264.81 = 142.80 : x
  2. Step 2: Convert to fraction form
    192.03/264.81 = 142.80/x
  3. Step 3: Cross multiply
    192.03x = 264.81 × 142.80
  4. Step 4: Simplify right side
    192.03x = 37,814.87
  5. Step 5: Solve for x
    x = 37,814.87/192.03
  6. Step 6: Final answer
    x = 196.92

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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.