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Finding the Fourth Proportional to 227.40, 313.82 and 137.70

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Solution

The fourth proportional to 227.40, 313.82 and 137.70 is: 190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.40 : 313.82 = 137.70 : x
  2. Step 2: Convert to fraction form
    227.40/313.82 = 137.70/x
  3. Step 3: Cross multiply
    227.40x = 313.82 × 137.70
  4. Step 4: Simplify right side
    227.40x = 43,212.33
  5. Step 5: Solve for x
    x = 43,212.33/227.40
  6. Step 6: Final answer
    x = 190.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.