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Finding the Fourth Proportional to 196.61, 294.96 and 66.61

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Solution

The fourth proportional to 196.61, 294.96 and 66.61 is: 99.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.61 : 294.96 = 66.61 : x
  2. Step 2: Convert to fraction form
    196.61/294.96 = 66.61/x
  3. Step 3: Cross multiply
    196.61x = 294.96 × 66.61
  4. Step 4: Simplify right side
    196.61x = 19,646.55
  5. Step 5: Solve for x
    x = 19,646.55/196.61
  6. Step 6: Final answer
    x = 99.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.