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Finding the Fourth Proportional to 229.15, 316.31 and 204.54

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Solution

The fourth proportional to 229.15, 316.31 and 204.54 is: 282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.15 : 316.31 = 204.54 : x
  2. Step 2: Convert to fraction form
    229.15/316.31 = 204.54/x
  3. Step 3: Cross multiply
    229.15x = 316.31 × 204.54
  4. Step 4: Simplify right side
    229.15x = 64,697.62
  5. Step 5: Solve for x
    x = 64,697.62/229.15
  6. Step 6: Final answer
    x = 282.34

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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.