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Finding the Fourth Proportional to 227.90, 341.69 and 106.09

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Solution

The fourth proportional to 227.90, 341.69 and 106.09 is: 159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.90 : 341.69 = 106.09 : x
  2. Step 2: Convert to fraction form
    227.90/341.69 = 106.09/x
  3. Step 3: Cross multiply
    227.90x = 341.69 × 106.09
  4. Step 4: Simplify right side
    227.90x = 36,251.32
  5. Step 5: Solve for x
    x = 36,251.32/227.90
  6. Step 6: Final answer
    x = 159.07

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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.