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Finding the Fourth Proportional to 227.12, 313.20 and 158

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Solution

The fourth proportional to 227.12, 313.20 and 158 is: 217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.12 : 313.20 = 158 : x
  2. Step 2: Convert to fraction form
    227.12/313.20 = 158/x
  3. Step 3: Cross multiply
    227.12x = 313.20 × 158
  4. Step 4: Simplify right side
    227.12x = 49,485.60
  5. Step 5: Solve for x
    x = 49,485.60/227.12
  6. Step 6: Final answer
    x = 217.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.