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Finding the Fourth Proportional to 196.52, 294.64 and 132.28

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Solution

The fourth proportional to 196.52, 294.64 and 132.28 is: 198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.52 : 294.64 = 132.28 : x
  2. Step 2: Convert to fraction form
    196.52/294.64 = 132.28/x
  3. Step 3: Cross multiply
    196.52x = 294.64 × 132.28
  4. Step 4: Simplify right side
    196.52x = 38,974.98
  5. Step 5: Solve for x
    x = 38,974.98/196.52
  6. Step 6: Final answer
    x = 198.33

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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.