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Finding the Fourth Proportional to 227.50, 340.74 and 105.52

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Solution

The fourth proportional to 227.50, 340.74 and 105.52 is: 158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.50 : 340.74 = 105.52 : x
  2. Step 2: Convert to fraction form
    227.50/340.74 = 105.52/x
  3. Step 3: Cross multiply
    227.50x = 340.74 × 105.52
  4. Step 4: Simplify right side
    227.50x = 35,954.88
  5. Step 5: Solve for x
    x = 35,954.88/227.50
  6. Step 6: Final answer
    x = 158.04

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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.