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Finding the Fourth Proportional to 192.80, 289.34 and 84.56

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Solution

The fourth proportional to 192.80, 289.34 and 84.56 is: 126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.80 : 289.34 = 84.56 : x
  2. Step 2: Convert to fraction form
    192.80/289.34 = 84.56/x
  3. Step 3: Cross multiply
    192.80x = 289.34 × 84.56
  4. Step 4: Simplify right side
    192.80x = 24,466.59
  5. Step 5: Solve for x
    x = 24,466.59/192.80
  6. Step 6: Final answer
    x = 126.90

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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.