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Finding the Fourth Proportional to 351.71, 485.25 and 204.29

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Solution

The fourth proportional to 351.71, 485.25 and 204.29 is: 281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.71 : 485.25 = 204.29 : x
  2. Step 2: Convert to fraction form
    351.71/485.25 = 204.29/x
  3. Step 3: Cross multiply
    351.71x = 485.25 × 204.29
  4. Step 4: Simplify right side
    351.71x = 99,131.72
  5. Step 5: Solve for x
    x = 99,131.72/351.71
  6. Step 6: Final answer
    x = 281.86

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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.