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Finding the Fourth Proportional to 196.93, 296.74 and 163.44

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Solution

The fourth proportional to 196.93, 296.74 and 163.44 is: 246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.93 : 296.74 = 163.44 : x
  2. Step 2: Convert to fraction form
    196.93/296.74 = 163.44/x
  3. Step 3: Cross multiply
    196.93x = 296.74 × 163.44
  4. Step 4: Simplify right side
    196.93x = 48,499.19
  5. Step 5: Solve for x
    x = 48,499.19/196.93
  6. Step 6: Final answer
    x = 246.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.