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Finding the Fourth Proportional to 227.63, 341.13 and 119.20

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Solution

The fourth proportional to 227.63, 341.13 and 119.20 is: 178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.63 : 341.13 = 119.20 : x
  2. Step 2: Convert to fraction form
    227.63/341.13 = 119.20/x
  3. Step 3: Cross multiply
    227.63x = 341.13 × 119.20
  4. Step 4: Simplify right side
    227.63x = 40,662.70
  5. Step 5: Solve for x
    x = 40,662.70/227.63
  6. Step 6: Final answer
    x = 178.64

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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.