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Finding the Fourth Proportional to 227.96, 342.06 and 119.72

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Solution

The fourth proportional to 227.96, 342.06 and 119.72 is: 179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.96 : 342.06 = 119.72 : x
  2. Step 2: Convert to fraction form
    227.96/342.06 = 119.72/x
  3. Step 3: Cross multiply
    227.96x = 342.06 × 119.72
  4. Step 4: Simplify right side
    227.96x = 40,951.42
  5. Step 5: Solve for x
    x = 40,951.42/227.96
  6. Step 6: Final answer
    x = 179.64

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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.