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Finding the Fourth Proportional to 229.82, 316.73 and 203.27

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Solution

The fourth proportional to 229.82, 316.73 and 203.27 is: 280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.82 : 316.73 = 203.27 : x
  2. Step 2: Convert to fraction form
    229.82/316.73 = 203.27/x
  3. Step 3: Cross multiply
    229.82x = 316.73 × 203.27
  4. Step 4: Simplify right side
    229.82x = 64,380.63
  5. Step 5: Solve for x
    x = 64,380.63/229.82
  6. Step 6: Final answer
    x = 280.14

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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.