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Finding the Fourth Proportional to 196.42, 293.89 and 122.31

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Solution

The fourth proportional to 196.42, 293.89 and 122.31 is: 183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.42 : 293.89 = 122.31 : x
  2. Step 2: Convert to fraction form
    196.42/293.89 = 122.31/x
  3. Step 3: Cross multiply
    196.42x = 293.89 × 122.31
  4. Step 4: Simplify right side
    196.42x = 35,945.69
  5. Step 5: Solve for x
    x = 35,945.69/196.42
  6. Step 6: Final answer
    x = 183.00

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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.