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Finding the Fourth Proportional to 769.48, 1,154.22 and 192.36

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Solution

The fourth proportional to 769.48, 1,154.22 and 192.36 is: 288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.48 : 1,154.22 = 192.36 : x
  2. Step 2: Convert to fraction form
    769.48/1,154.22 = 192.36/x
  3. Step 3: Cross multiply
    769.48x = 1,154.22 × 192.36
  4. Step 4: Simplify right side
    769.48x = 222,019.99
  5. Step 5: Solve for x
    x = 222,019.99/769.48
  6. Step 6: Final answer
    x = 288.53

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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.