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Finding the Fourth Proportional to 769.23, 1,153.85 and 192.11

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Solution

The fourth proportional to 769.23, 1,153.85 and 192.11 is: 288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.23 : 1,153.85 = 192.11 : x
  2. Step 2: Convert to fraction form
    769.23/1,153.85 = 192.11/x
  3. Step 3: Cross multiply
    769.23x = 1,153.85 × 192.11
  4. Step 4: Simplify right side
    769.23x = 221,659.39
  5. Step 5: Solve for x
    x = 221,659.39/769.23
  6. Step 6: Final answer
    x = 288.16

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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.