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Finding the Fourth Proportional to 192.82, 289.22 and 77.28

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Solution

The fourth proportional to 192.82, 289.22 and 77.28 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.82 : 289.22 = 77.28 : x
  2. Step 2: Convert to fraction form
    192.82/289.22 = 77.28/x
  3. Step 3: Cross multiply
    192.82x = 289.22 × 77.28
  4. Step 4: Simplify right side
    192.82x = 22,350.92
  5. Step 5: Solve for x
    x = 22,350.92/192.82
  6. Step 6: Final answer
    x = 115.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.