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Finding the Fourth Proportional to 227.14, 341.00 and 154.34

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Solution

The fourth proportional to 227.14, 341.00 and 154.34 is: 231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.14 : 341.00 = 154.34 : x
  2. Step 2: Convert to fraction form
    227.14/341.00 = 154.34/x
  3. Step 3: Cross multiply
    227.14x = 341.00 × 154.34
  4. Step 4: Simplify right side
    227.14x = 52,629.10
  5. Step 5: Solve for x
    x = 52,629.10/227.14
  6. Step 6: Final answer
    x = 231.70

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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.