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Finding the Fourth Proportional to 196.81, 295.61 and 128.43

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Solution

The fourth proportional to 196.81, 295.61 and 128.43 is: 192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.81 : 295.61 = 128.43 : x
  2. Step 2: Convert to fraction form
    196.81/295.61 = 128.43/x
  3. Step 3: Cross multiply
    196.81x = 295.61 × 128.43
  4. Step 4: Simplify right side
    196.81x = 37,965.19
  5. Step 5: Solve for x
    x = 37,965.19/196.81
  6. Step 6: Final answer
    x = 192.90

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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.