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Finding the Fourth Proportional to 196.42, 294.62 and 85.21

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Solution

The fourth proportional to 196.42, 294.62 and 85.21 is: 127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.42 : 294.62 = 85.21 : x
  2. Step 2: Convert to fraction form
    196.42/294.62 = 85.21/x
  3. Step 3: Cross multiply
    196.42x = 294.62 × 85.21
  4. Step 4: Simplify right side
    196.42x = 25,105.08
  5. Step 5: Solve for x
    x = 25,105.08/196.42
  6. Step 6: Final answer
    x = 127.82

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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.