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Finding the Fourth Proportional to 351.80, 485.49 and 204.48

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Solution

The fourth proportional to 351.80, 485.49 and 204.48 is: 282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.80 : 485.49 = 204.48 : x
  2. Step 2: Convert to fraction form
    351.80/485.49 = 204.48/x
  3. Step 3: Cross multiply
    351.80x = 485.49 × 204.48
  4. Step 4: Simplify right side
    351.80x = 99,273.00
  5. Step 5: Solve for x
    x = 99,273.00/351.80
  6. Step 6: Final answer
    x = 282.19

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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.