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Finding the Fourth Proportional to 227.60, 313.96 and 140.24

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Solution

The fourth proportional to 227.60, 313.96 and 140.24 is: 193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.60 : 313.96 = 140.24 : x
  2. Step 2: Convert to fraction form
    227.60/313.96 = 140.24/x
  3. Step 3: Cross multiply
    227.60x = 313.96 × 140.24
  4. Step 4: Simplify right side
    227.60x = 44,029.75
  5. Step 5: Solve for x
    x = 44,029.75/227.60
  6. Step 6: Final answer
    x = 193.45

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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.