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Finding the Fourth Proportional to 227.74, 341.57 and 73.68

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Solution

The fourth proportional to 227.74, 341.57 and 73.68 is: 110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.74 : 341.57 = 73.68 : x
  2. Step 2: Convert to fraction form
    227.74/341.57 = 73.68/x
  3. Step 3: Cross multiply
    227.74x = 341.57 × 73.68
  4. Step 4: Simplify right side
    227.74x = 25,168.25
  5. Step 5: Solve for x
    x = 25,168.25/227.74
  6. Step 6: Final answer
    x = 110.51

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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.