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Finding the Fourth Proportional to 227.49, 313.86 and 157.59

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Solution

The fourth proportional to 227.49, 313.86 and 157.59 is: 217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.49 : 313.86 = 157.59 : x
  2. Step 2: Convert to fraction form
    227.49/313.86 = 157.59/x
  3. Step 3: Cross multiply
    227.49x = 313.86 × 157.59
  4. Step 4: Simplify right side
    227.49x = 49,461.20
  5. Step 5: Solve for x
    x = 49,461.20/227.49
  6. Step 6: Final answer
    x = 217.42

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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.