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Finding the Fourth Proportional to 196.84, 269.69 and 182.32

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Solution

The fourth proportional to 196.84, 269.69 and 182.32 is: 249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.84 : 269.69 = 182.32 : x
  2. Step 2: Convert to fraction form
    196.84/269.69 = 182.32/x
  3. Step 3: Cross multiply
    196.84x = 269.69 × 182.32
  4. Step 4: Simplify right side
    196.84x = 49,169.88
  5. Step 5: Solve for x
    x = 49,169.88/196.84
  6. Step 6: Final answer
    x = 249.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.