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Finding the Fourth Proportional to 227.59, 340.97 and 162.38

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Solution

The fourth proportional to 227.59, 340.97 and 162.38 is: 243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.59 : 340.97 = 162.38 : x
  2. Step 2: Convert to fraction form
    227.59/340.97 = 162.38/x
  3. Step 3: Cross multiply
    227.59x = 340.97 × 162.38
  4. Step 4: Simplify right side
    227.59x = 55,366.71
  5. Step 5: Solve for x
    x = 55,366.71/227.59
  6. Step 6: Final answer
    x = 243.27

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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.