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Finding the Fourth Proportional to 227.56, 314.34 and 208.36

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Solution

The fourth proportional to 227.56, 314.34 and 208.36 is: 287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.56 : 314.34 = 208.36 : x
  2. Step 2: Convert to fraction form
    227.56/314.34 = 208.36/x
  3. Step 3: Cross multiply
    227.56x = 314.34 × 208.36
  4. Step 4: Simplify right side
    227.56x = 65,495.88
  5. Step 5: Solve for x
    x = 65,495.88/227.56
  6. Step 6: Final answer
    x = 287.82

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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.