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Finding the Fourth Proportional to 196.81, 293.81 and 189.11

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Solution

The fourth proportional to 196.81, 293.81 and 189.11 is: 282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.81 : 293.81 = 189.11 : x
  2. Step 2: Convert to fraction form
    196.81/293.81 = 189.11/x
  3. Step 3: Cross multiply
    196.81x = 293.81 × 189.11
  4. Step 4: Simplify right side
    196.81x = 55,562.20
  5. Step 5: Solve for x
    x = 55,562.20/196.81
  6. Step 6: Final answer
    x = 282.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.