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Finding the Fourth Proportional to 196.48, 294.64 and 93.65

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Solution

The fourth proportional to 196.48, 294.64 and 93.65 is: 140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.48 : 294.64 = 93.65 : x
  2. Step 2: Convert to fraction form
    196.48/294.64 = 93.65/x
  3. Step 3: Cross multiply
    196.48x = 294.64 × 93.65
  4. Step 4: Simplify right side
    196.48x = 27,591.33
  5. Step 5: Solve for x
    x = 27,591.33/196.48
  6. Step 6: Final answer
    x = 140.43

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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.