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Finding the Fourth Proportional to 351.72, 485.34 and 196.46

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Solution

The fourth proportional to 351.72, 485.34 and 196.46 is: 271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.72 : 485.34 = 196.46 : x
  2. Step 2: Convert to fraction form
    351.72/485.34 = 196.46/x
  3. Step 3: Cross multiply
    351.72x = 485.34 × 196.46
  4. Step 4: Simplify right side
    351.72x = 95,349.90
  5. Step 5: Solve for x
    x = 95,349.90/351.72
  6. Step 6: Final answer
    x = 271.10

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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.