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Finding the Fourth Proportional to 196, 294.04 and 67.78

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Solution

The fourth proportional to 196, 294.04 and 67.78 is: 101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196 : 294.04 = 67.78 : x
  2. Step 2: Convert to fraction form
    196/294.04 = 67.78/x
  3. Step 3: Cross multiply
    196x = 294.04 × 67.78
  4. Step 4: Simplify right side
    196x = 19,930.03
  5. Step 5: Solve for x
    x = 19,930.03/196
  6. Step 6: Final answer
    x = 101.68

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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.