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Finding the Fourth Proportional to 247, 369.96 and 225.94

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Solution

The fourth proportional to 247, 369.96 and 225.94 is: 338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    247 : 369.96 = 225.94 : x
  2. Step 2: Convert to fraction form
    247/369.96 = 225.94/x
  3. Step 3: Cross multiply
    247x = 369.96 × 225.94
  4. Step 4: Simplify right side
    247x = 83,588.76
  5. Step 5: Solve for x
    x = 83,588.76/247
  6. Step 6: Final answer
    x = 338.42

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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.