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Finding the Fourth Proportional to 196.88, 271.83 and 123.23

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Solution

The fourth proportional to 196.88, 271.83 and 123.23 is: 170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.88 : 271.83 = 123.23 : x
  2. Step 2: Convert to fraction form
    196.88/271.83 = 123.23/x
  3. Step 3: Cross multiply
    196.88x = 271.83 × 123.23
  4. Step 4: Simplify right side
    196.88x = 33,497.61
  5. Step 5: Solve for x
    x = 33,497.61/196.88
  6. Step 6: Final answer
    x = 170.14

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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.