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Finding the Fourth Proportional to 196.86, 272.16 and 165.78

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Solution

The fourth proportional to 196.86, 272.16 and 165.78 is: 229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.86 : 272.16 = 165.78 : x
  2. Step 2: Convert to fraction form
    196.86/272.16 = 165.78/x
  3. Step 3: Cross multiply
    196.86x = 272.16 × 165.78
  4. Step 4: Simplify right side
    196.86x = 45,118.68
  5. Step 5: Solve for x
    x = 45,118.68/196.86
  6. Step 6: Final answer
    x = 229.19

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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.