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Finding the Fourth Proportional to 227.45, 313.88 and 140.12

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Solution

The fourth proportional to 227.45, 313.88 and 140.12 is: 193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.45 : 313.88 = 140.12 : x
  2. Step 2: Convert to fraction form
    227.45/313.88 = 140.12/x
  3. Step 3: Cross multiply
    227.45x = 313.88 × 140.12
  4. Step 4: Simplify right side
    227.45x = 43,980.87
  5. Step 5: Solve for x
    x = 43,980.87/227.45
  6. Step 6: Final answer
    x = 193.36

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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.