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Finding the Fourth Proportional to 196.29, 272.11 and 185.88

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Solution

The fourth proportional to 196.29, 272.11 and 185.88 is: 257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.29 : 272.11 = 185.88 : x
  2. Step 2: Convert to fraction form
    196.29/272.11 = 185.88/x
  3. Step 3: Cross multiply
    196.29x = 272.11 × 185.88
  4. Step 4: Simplify right side
    196.29x = 50,579.81
  5. Step 5: Solve for x
    x = 50,579.81/196.29
  6. Step 6: Final answer
    x = 257.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.