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Finding the Fourth Proportional to 227.26, 313.50 and 139.78

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Solution

The fourth proportional to 227.26, 313.50 and 139.78 is: 192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.26 : 313.50 = 139.78 : x
  2. Step 2: Convert to fraction form
    227.26/313.50 = 139.78/x
  3. Step 3: Cross multiply
    227.26x = 313.50 × 139.78
  4. Step 4: Simplify right side
    227.26x = 43,821.03
  5. Step 5: Solve for x
    x = 43,821.03/227.26
  6. Step 6: Final answer
    x = 192.82

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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.