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Finding the Fourth Proportional to 192.45, 288.75 and 76.97

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Solution

The fourth proportional to 192.45, 288.75 and 76.97 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.45 : 288.75 = 76.97 : x
  2. Step 2: Convert to fraction form
    192.45/288.75 = 76.97/x
  3. Step 3: Cross multiply
    192.45x = 288.75 × 76.97
  4. Step 4: Simplify right side
    192.45x = 22,225.67
  5. Step 5: Solve for x
    x = 22,225.67/192.45
  6. Step 6: Final answer
    x = 115.49

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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.