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Finding the Fourth Proportional to 227.67, 341.06 and 105.77

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Solution

The fourth proportional to 227.67, 341.06 and 105.77 is: 158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.67 : 341.06 = 105.77 : x
  2. Step 2: Convert to fraction form
    227.67/341.06 = 105.77/x
  3. Step 3: Cross multiply
    227.67x = 341.06 × 105.77
  4. Step 4: Simplify right side
    227.67x = 36,071.68
  5. Step 5: Solve for x
    x = 36,071.68/227.67
  6. Step 6: Final answer
    x = 158.44

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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.