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Finding the Fourth Proportional to 227.70, 340.86 and 136.14

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Solution

The fourth proportional to 227.70, 340.86 and 136.14 is: 203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.70 : 340.86 = 136.14 : x
  2. Step 2: Convert to fraction form
    227.70/340.86 = 136.14/x
  3. Step 3: Cross multiply
    227.70x = 340.86 × 136.14
  4. Step 4: Simplify right side
    227.70x = 46,404.68
  5. Step 5: Solve for x
    x = 46,404.68/227.70
  6. Step 6: Final answer
    x = 203.80

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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.