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Finding the Fourth Proportional to 192.41, 288.61 and 76.82

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Solution

The fourth proportional to 192.41, 288.61 and 76.82 is: 115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.41 : 288.61 = 76.82 : x
  2. Step 2: Convert to fraction form
    192.41/288.61 = 76.82/x
  3. Step 3: Cross multiply
    192.41x = 288.61 × 76.82
  4. Step 4: Simplify right side
    192.41x = 22,171.44
  5. Step 5: Solve for x
    x = 22,171.44/192.41
  6. Step 6: Final answer
    x = 115.23

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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.