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Finding the Fourth Proportional to 192.31, 288.33 and 76.72

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Solution

The fourth proportional to 192.31, 288.33 and 76.72 is: 115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.31 : 288.33 = 76.72 : x
  2. Step 2: Convert to fraction form
    192.31/288.33 = 76.72/x
  3. Step 3: Cross multiply
    192.31x = 288.33 × 76.72
  4. Step 4: Simplify right side
    192.31x = 22,120.68
  5. Step 5: Solve for x
    x = 22,120.68/192.31
  6. Step 6: Final answer
    x = 115.03

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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.