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Finding the Fourth Proportional to 227.94, 341.10 and 187.44

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Solution

The fourth proportional to 227.94, 341.10 and 187.44 is: 280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.94 : 341.10 = 187.44 : x
  2. Step 2: Convert to fraction form
    227.94/341.10 = 187.44/x
  3. Step 3: Cross multiply
    227.94x = 341.10 × 187.44
  4. Step 4: Simplify right side
    227.94x = 63,935.78
  5. Step 5: Solve for x
    x = 63,935.78/227.94
  6. Step 6: Final answer
    x = 280.49

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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.