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Finding the Fourth Proportional to 192.05, 288.06 and 82.36

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Solution

The fourth proportional to 192.05, 288.06 and 82.36 is: 123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.05 : 288.06 = 82.36 : x
  2. Step 2: Convert to fraction form
    192.05/288.06 = 82.36/x
  3. Step 3: Cross multiply
    192.05x = 288.06 × 82.36
  4. Step 4: Simplify right side
    192.05x = 23,723.49
  5. Step 5: Solve for x
    x = 23,723.49/192.05
  6. Step 6: Final answer
    x = 123.53

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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.