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Finding the Fourth Proportional to 196.02, 270.48 and 164.86

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Solution

The fourth proportional to 196.02, 270.48 and 164.86 is: 227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.02 : 270.48 = 164.86 : x
  2. Step 2: Convert to fraction form
    196.02/270.48 = 164.86/x
  3. Step 3: Cross multiply
    196.02x = 270.48 × 164.86
  4. Step 4: Simplify right side
    196.02x = 44,591.33
  5. Step 5: Solve for x
    x = 44,591.33/196.02
  6. Step 6: Final answer
    x = 227.48

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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.