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Finding the Fourth Proportional to 227.28, 313.50 and 139.92

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Solution

The fourth proportional to 227.28, 313.50 and 139.92 is: 193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.28 : 313.50 = 139.92 : x
  2. Step 2: Convert to fraction form
    227.28/313.50 = 139.92/x
  3. Step 3: Cross multiply
    227.28x = 313.50 × 139.92
  4. Step 4: Simplify right side
    227.28x = 43,864.92
  5. Step 5: Solve for x
    x = 43,864.92/227.28
  6. Step 6: Final answer
    x = 193.00

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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.