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Finding the Fourth Proportional to 227.22, 313.38 and 205.62

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Solution

The fourth proportional to 227.22, 313.38 and 205.62 is: 283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.22 : 313.38 = 205.62 : x
  2. Step 2: Convert to fraction form
    227.22/313.38 = 205.62/x
  3. Step 3: Cross multiply
    227.22x = 313.38 × 205.62
  4. Step 4: Simplify right side
    227.22x = 64,437.20
  5. Step 5: Solve for x
    x = 64,437.20/227.22
  6. Step 6: Final answer
    x = 283.59

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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.