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Finding the Fourth Proportional to 196.49, 294.82 and 73.09

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Solution

The fourth proportional to 196.49, 294.82 and 73.09 is: 109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.49 : 294.82 = 73.09 : x
  2. Step 2: Convert to fraction form
    196.49/294.82 = 73.09/x
  3. Step 3: Cross multiply
    196.49x = 294.82 × 73.09
  4. Step 4: Simplify right side
    196.49x = 21,546.79
  5. Step 5: Solve for x
    x = 21,546.79/196.49
  6. Step 6: Final answer
    x = 109.66

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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.