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Finding the Fourth Proportional to 227.12, 313.44 and 138.59

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Solution

The fourth proportional to 227.12, 313.44 and 138.59 is: 191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.12 : 313.44 = 138.59 : x
  2. Step 2: Convert to fraction form
    227.12/313.44 = 138.59/x
  3. Step 3: Cross multiply
    227.12x = 313.44 × 138.59
  4. Step 4: Simplify right side
    227.12x = 43,440.50
  5. Step 5: Solve for x
    x = 43,440.50/227.12
  6. Step 6: Final answer
    x = 191.26

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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.