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Finding the Fourth Proportional to 227.17, 340.30 and 105.27

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Solution

The fourth proportional to 227.17, 340.30 and 105.27 is: 157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.17 : 340.30 = 105.27 : x
  2. Step 2: Convert to fraction form
    227.17/340.30 = 105.27/x
  3. Step 3: Cross multiply
    227.17x = 340.30 × 105.27
  4. Step 4: Simplify right side
    227.17x = 35,823.38
  5. Step 5: Solve for x
    x = 35,823.38/227.17
  6. Step 6: Final answer
    x = 157.69

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Why These Related Problems?

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