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Finding the Fourth Proportional to 227.15, 340.78 and 105.50

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Solution

The fourth proportional to 227.15, 340.78 and 105.50 is: 158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.15 : 340.78 = 105.50 : x
  2. Step 2: Convert to fraction form
    227.15/340.78 = 105.50/x
  3. Step 3: Cross multiply
    227.15x = 340.78 × 105.50
  4. Step 4: Simplify right side
    227.15x = 35,952.29
  5. Step 5: Solve for x
    x = 35,952.29/227.15
  6. Step 6: Final answer
    x = 158.28

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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.