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Finding the Fourth Proportional to 196.36, 294.64 and 68.12

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Solution

The fourth proportional to 196.36, 294.64 and 68.12 is: 102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.36 : 294.64 = 68.12 : x
  2. Step 2: Convert to fraction form
    196.36/294.64 = 68.12/x
  3. Step 3: Cross multiply
    196.36x = 294.64 × 68.12
  4. Step 4: Simplify right side
    196.36x = 20,070.88
  5. Step 5: Solve for x
    x = 20,070.88/196.36
  6. Step 6: Final answer
    x = 102.21

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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.