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Finding the Fourth Proportional to 165.80, 228.87 and 122.27

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Solution

The fourth proportional to 165.80, 228.87 and 122.27 is: 168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 228.87 = 122.27 : x
  2. Step 2: Convert to fraction form
    165.80/228.87 = 122.27/x
  3. Step 3: Cross multiply
    165.80x = 228.87 × 122.27
  4. Step 4: Simplify right side
    165.80x = 27,982.79
  5. Step 5: Solve for x
    x = 27,982.79/165.80
  6. Step 6: Final answer
    x = 168.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.