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Finding the Fourth Proportional to 769.28, 1,153.92 and 192.15

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Solution

The fourth proportional to 769.28, 1,153.92 and 192.15 is: 288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.28 : 1,153.92 = 192.15 : x
  2. Step 2: Convert to fraction form
    769.28/1,153.92 = 192.15/x
  3. Step 3: Cross multiply
    769.28x = 1,153.92 × 192.15
  4. Step 4: Simplify right side
    769.28x = 221,724.77
  5. Step 5: Solve for x
    x = 221,724.77/769.28
  6. Step 6: Final answer
    x = 288.23

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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.