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Finding the Fourth Proportional to 351.53, 485.09 and 196.25

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Solution

The fourth proportional to 351.53, 485.09 and 196.25 is: 270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.53 : 485.09 = 196.25 : x
  2. Step 2: Convert to fraction form
    351.53/485.09 = 196.25/x
  3. Step 3: Cross multiply
    351.53x = 485.09 × 196.25
  4. Step 4: Simplify right side
    351.53x = 95,197.93
  5. Step 5: Solve for x
    x = 95,197.93/351.53
  6. Step 6: Final answer
    x = 270.81

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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.