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Finding the Fourth Proportional to 227.24, 313.14 and 158.12

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Solution

The fourth proportional to 227.24, 313.14 and 158.12 is: 217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.24 : 313.14 = 158.12 : x
  2. Step 2: Convert to fraction form
    227.24/313.14 = 158.12/x
  3. Step 3: Cross multiply
    227.24x = 313.14 × 158.12
  4. Step 4: Simplify right side
    227.24x = 49,513.70
  5. Step 5: Solve for x
    x = 49,513.70/227.24
  6. Step 6: Final answer
    x = 217.89

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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.