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Finding the Fourth Proportional to 227.70, 341.13 and 131.22

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Solution

The fourth proportional to 227.70, 341.13 and 131.22 is: 196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.70 : 341.13 = 131.22 : x
  2. Step 2: Convert to fraction form
    227.70/341.13 = 131.22/x
  3. Step 3: Cross multiply
    227.70x = 341.13 × 131.22
  4. Step 4: Simplify right side
    227.70x = 44,763.08
  5. Step 5: Solve for x
    x = 44,763.08/227.70
  6. Step 6: Final answer
    x = 196.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.