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Finding the Fourth Proportional to 196, 294 and 82

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Solution

The fourth proportional to 196, 294 and 82 is: 123

Step by Step Solution

  1. Step 1: Write the proportion equation
    196 : 294 = 82 : x
  2. Step 2: Convert to fraction form
    196/294 = 82/x
  3. Step 3: Cross multiply
    196x = 294 × 82
  4. Step 4: Simplify right side
    196x = 24,108
  5. Step 5: Solve for x
    x = 24,108/196
  6. Step 6: Final answer
    x = 123

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.