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Finding the Fourth Proportional to 196.66, 270.93 and 163.26

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Solution

The fourth proportional to 196.66, 270.93 and 163.26 is: 224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.66 : 270.93 = 163.26 : x
  2. Step 2: Convert to fraction form
    196.66/270.93 = 163.26/x
  3. Step 3: Cross multiply
    196.66x = 270.93 × 163.26
  4. Step 4: Simplify right side
    196.66x = 44,232.03
  5. Step 5: Solve for x
    x = 44,232.03/196.66
  6. Step 6: Final answer
    x = 224.92

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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.