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Finding the Fourth Proportional to 227.53, 313.83 and 140.24

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Solution

The fourth proportional to 227.53, 313.83 and 140.24 is: 193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.53 : 313.83 = 140.24 : x
  2. Step 2: Convert to fraction form
    227.53/313.83 = 140.24/x
  3. Step 3: Cross multiply
    227.53x = 313.83 × 140.24
  4. Step 4: Simplify right side
    227.53x = 44,011.52
  5. Step 5: Solve for x
    x = 44,011.52/227.53
  6. Step 6: Final answer
    x = 193.43

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