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Finding the Fourth Proportional to 351.86, 485.58 and 196.64

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Solution

The fourth proportional to 351.86, 485.58 and 196.64 is: 271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.86 : 485.58 = 196.64 : x
  2. Step 2: Convert to fraction form
    351.86/485.58 = 196.64/x
  3. Step 3: Cross multiply
    351.86x = 485.58 × 196.64
  4. Step 4: Simplify right side
    351.86x = 95,484.45
  5. Step 5: Solve for x
    x = 95,484.45/351.86
  6. Step 6: Final answer
    x = 271.37

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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.