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Finding the Fourth Proportional to 165.14, 227.90 and 125.73

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Solution

The fourth proportional to 165.14, 227.90 and 125.73 is: 173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.14 : 227.90 = 125.73 : x
  2. Step 2: Convert to fraction form
    165.14/227.90 = 125.73/x
  3. Step 3: Cross multiply
    165.14x = 227.90 × 125.73
  4. Step 4: Simplify right side
    165.14x = 28,654.75
  5. Step 5: Solve for x
    x = 28,654.75/165.14
  6. Step 6: Final answer
    x = 173.52

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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.