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Finding the Fourth Proportional to 196.82, 271.74 and 123.24

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Solution

The fourth proportional to 196.82, 271.74 and 123.24 is: 170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.82 : 271.74 = 123.24 : x
  2. Step 2: Convert to fraction form
    196.82/271.74 = 123.24/x
  3. Step 3: Cross multiply
    196.82x = 271.74 × 123.24
  4. Step 4: Simplify right side
    196.82x = 33,489.24
  5. Step 5: Solve for x
    x = 33,489.24/196.82
  6. Step 6: Final answer
    x = 170.15

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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.