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Finding the Fourth Proportional to 196.92, 271.26 and 164.16

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Solution

The fourth proportional to 196.92, 271.26 and 164.16 is: 226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.92 : 271.26 = 164.16 : x
  2. Step 2: Convert to fraction form
    196.92/271.26 = 164.16/x
  3. Step 3: Cross multiply
    196.92x = 271.26 × 164.16
  4. Step 4: Simplify right side
    196.92x = 44,530.04
  5. Step 5: Solve for x
    x = 44,530.04/196.92
  6. Step 6: Final answer
    x = 226.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.