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Finding the Fourth Proportional to 371.48, 556.41 and 226.76

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Solution

The fourth proportional to 371.48, 556.41 and 226.76 is: 339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.48 : 556.41 = 226.76 : x
  2. Step 2: Convert to fraction form
    371.48/556.41 = 226.76/x
  3. Step 3: Cross multiply
    371.48x = 556.41 × 226.76
  4. Step 4: Simplify right side
    371.48x = 126,171.53
  5. Step 5: Solve for x
    x = 126,171.53/371.48
  6. Step 6: Final answer
    x = 339.65

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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.