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Finding the Fourth Proportional to 371.20, 556.60 and 165.73

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Solution

The fourth proportional to 371.20, 556.60 and 165.73 is: 248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.20 : 556.60 = 165.73 : x
  2. Step 2: Convert to fraction form
    371.20/556.60 = 165.73/x
  3. Step 3: Cross multiply
    371.20x = 556.60 × 165.73
  4. Step 4: Simplify right side
    371.20x = 92,245.32
  5. Step 5: Solve for x
    x = 92,245.32/371.20
  6. Step 6: Final answer
    x = 248.51

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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.