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Finding the Fourth Proportional to 249.24, 373.46 and 197.61

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Solution

The fourth proportional to 249.24, 373.46 and 197.61 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.24 : 373.46 = 197.61 : x
  2. Step 2: Convert to fraction form
    249.24/373.46 = 197.61/x
  3. Step 3: Cross multiply
    249.24x = 373.46 × 197.61
  4. Step 4: Simplify right side
    249.24x = 73,798.44
  5. Step 5: Solve for x
    x = 73,798.44/249.24
  6. Step 6: Final answer
    x = 296.09

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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.