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Finding the Fourth Proportional to 225.91, 339.45 and 197.65

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Solution

The fourth proportional to 225.91, 339.45 and 197.65 is: 296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.91 : 339.45 = 197.65 : x
  2. Step 2: Convert to fraction form
    225.91/339.45 = 197.65/x
  3. Step 3: Cross multiply
    225.91x = 339.45 × 197.65
  4. Step 4: Simplify right side
    225.91x = 67,092.29
  5. Step 5: Solve for x
    x = 67,092.29/225.91
  6. Step 6: Final answer
    x = 296.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.