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Finding the Fourth Proportional to 192.98, 289.41 and 77.42

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Solution

The fourth proportional to 192.98, 289.41 and 77.42 is: 116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.98 : 289.41 = 77.42 : x
  2. Step 2: Convert to fraction form
    192.98/289.41 = 77.42/x
  3. Step 3: Cross multiply
    192.98x = 289.41 × 77.42
  4. Step 4: Simplify right side
    192.98x = 22,406.56
  5. Step 5: Solve for x
    x = 22,406.56/192.98
  6. Step 6: Final answer
    x = 116.11

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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.