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Finding the Fourth Proportional to 227.72, 341.95 and 141.23

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Solution

The fourth proportional to 227.72, 341.95 and 141.23 is: 212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.72 : 341.95 = 141.23 : x
  2. Step 2: Convert to fraction form
    227.72/341.95 = 141.23/x
  3. Step 3: Cross multiply
    227.72x = 341.95 × 141.23
  4. Step 4: Simplify right side
    227.72x = 48,293.60
  5. Step 5: Solve for x
    x = 48,293.60/227.72
  6. Step 6: Final answer
    x = 212.07

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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.