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Finding the Fourth Proportional to 227.86, 341.60 and 141.25

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Solution

The fourth proportional to 227.86, 341.60 and 141.25 is: 211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.86 : 341.60 = 141.25 : x
  2. Step 2: Convert to fraction form
    227.86/341.60 = 141.25/x
  3. Step 3: Cross multiply
    227.86x = 341.60 × 141.25
  4. Step 4: Simplify right side
    227.86x = 48,250.48
  5. Step 5: Solve for x
    x = 48,250.48/227.86
  6. Step 6: Final answer
    x = 211.75

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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.