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Finding the Fourth Proportional to 351.54, 485.09 and 204.14

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Solution

The fourth proportional to 351.54, 485.09 and 204.14 is: 281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.54 : 485.09 = 204.14 : x
  2. Step 2: Convert to fraction form
    351.54/485.09 = 204.14/x
  3. Step 3: Cross multiply
    351.54x = 485.09 × 204.14
  4. Step 4: Simplify right side
    351.54x = 99,022.83
  5. Step 5: Solve for x
    x = 99,022.83/351.54
  6. Step 6: Final answer
    x = 281.68

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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.