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Finding the Fourth Proportional to 351.94, 485.70 and 196.68

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Solution

The fourth proportional to 351.94, 485.70 and 196.68 is: 271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.94 : 485.70 = 196.68 : x
  2. Step 2: Convert to fraction form
    351.94/485.70 = 196.68/x
  3. Step 3: Cross multiply
    351.94x = 485.70 × 196.68
  4. Step 4: Simplify right side
    351.94x = 95,527.48
  5. Step 5: Solve for x
    x = 95,527.48/351.94
  6. Step 6: Final answer
    x = 271.43

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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.