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Finding the Fourth Proportional to 192.63, 288.96 and 77.02

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Solution

The fourth proportional to 192.63, 288.96 and 77.02 is: 115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.63 : 288.96 = 77.02 : x
  2. Step 2: Convert to fraction form
    192.63/288.96 = 77.02/x
  3. Step 3: Cross multiply
    192.63x = 288.96 × 77.02
  4. Step 4: Simplify right side
    192.63x = 22,255.70
  5. Step 5: Solve for x
    x = 22,255.70/192.63
  6. Step 6: Final answer
    x = 115.54

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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.