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Finding the Fourth Proportional to 227.11, 313.07 and 139.63

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Solution

The fourth proportional to 227.11, 313.07 and 139.63 is: 192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.11 : 313.07 = 139.63 : x
  2. Step 2: Convert to fraction form
    227.11/313.07 = 139.63/x
  3. Step 3: Cross multiply
    227.11x = 313.07 × 139.63
  4. Step 4: Simplify right side
    227.11x = 43,711.70
  5. Step 5: Solve for x
    x = 43,711.70/227.11
  6. Step 6: Final answer
    x = 192.47

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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.