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Finding the Fourth Proportional to 196.67, 295.01 and 66.61

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Solution

The fourth proportional to 196.67, 295.01 and 66.61 is: 99.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.67 : 295.01 = 66.61 : x
  2. Step 2: Convert to fraction form
    196.67/295.01 = 66.61/x
  3. Step 3: Cross multiply
    196.67x = 295.01 × 66.61
  4. Step 4: Simplify right side
    196.67x = 19,650.62
  5. Step 5: Solve for x
    x = 19,650.62/196.67
  6. Step 6: Final answer
    x = 99.92

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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.