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Finding the Fourth Proportional to 227.04, 313.31 and 138.55

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Solution

The fourth proportional to 227.04, 313.31 and 138.55 is: 191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.04 : 313.31 = 138.55 : x
  2. Step 2: Convert to fraction form
    227.04/313.31 = 138.55/x
  3. Step 3: Cross multiply
    227.04x = 313.31 × 138.55
  4. Step 4: Simplify right side
    227.04x = 43,409.10
  5. Step 5: Solve for x
    x = 43,409.10/227.04
  6. Step 6: Final answer
    x = 191.20

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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.