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Finding the Fourth Proportional to 196.65, 296.45 and 183.44

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Solution

The fourth proportional to 196.65, 296.45 and 183.44 is: 276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.65 : 296.45 = 183.44 : x
  2. Step 2: Convert to fraction form
    196.65/296.45 = 183.44/x
  3. Step 3: Cross multiply
    196.65x = 296.45 × 183.44
  4. Step 4: Simplify right side
    196.65x = 54,379.31
  5. Step 5: Solve for x
    x = 54,379.31/196.65
  6. Step 6: Final answer
    x = 276.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.