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Finding the Fourth Proportional to 192.48, 288.63 and 76.92

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Solution

The fourth proportional to 192.48, 288.63 and 76.92 is: 115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.48 : 288.63 = 76.92 : x
  2. Step 2: Convert to fraction form
    192.48/288.63 = 76.92/x
  3. Step 3: Cross multiply
    192.48x = 288.63 × 76.92
  4. Step 4: Simplify right side
    192.48x = 22,201.42
  5. Step 5: Solve for x
    x = 22,201.42/192.48
  6. Step 6: Final answer
    x = 115.34

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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.