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Finding the Fourth Proportional to 196.17, 271.36 and 182.87

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Solution

The fourth proportional to 196.17, 271.36 and 182.87 is: 252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.17 : 271.36 = 182.87 : x
  2. Step 2: Convert to fraction form
    196.17/271.36 = 182.87/x
  3. Step 3: Cross multiply
    196.17x = 271.36 × 182.87
  4. Step 4: Simplify right side
    196.17x = 49,623.49
  5. Step 5: Solve for x
    x = 49,623.49/196.17
  6. Step 6: Final answer
    x = 252.96

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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.