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Finding the Fourth Proportional to 351.57, 485.17 and 204.30

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Solution

The fourth proportional to 351.57, 485.17 and 204.30 is: 281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.57 : 485.17 = 204.30 : x
  2. Step 2: Convert to fraction form
    351.57/485.17 = 204.30/x
  3. Step 3: Cross multiply
    351.57x = 485.17 × 204.30
  4. Step 4: Simplify right side
    351.57x = 99,120.23
  5. Step 5: Solve for x
    x = 99,120.23/351.57
  6. Step 6: Final answer
    x = 281.94

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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.