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Finding the Fourth Proportional to 227.13, 340.04 and 157.56

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Solution

The fourth proportional to 227.13, 340.04 and 157.56 is: 235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.13 : 340.04 = 157.56 : x
  2. Step 2: Convert to fraction form
    227.13/340.04 = 157.56/x
  3. Step 3: Cross multiply
    227.13x = 340.04 × 157.56
  4. Step 4: Simplify right side
    227.13x = 53,576.70
  5. Step 5: Solve for x
    x = 53,576.70/227.13
  6. Step 6: Final answer
    x = 235.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.