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Finding the Fourth Proportional to 247.21, 369.21 and 224.03

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Solution

The fourth proportional to 247.21, 369.21 and 224.03 is: 334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.21 : 369.21 = 224.03 : x
  2. Step 2: Convert to fraction form
    247.21/369.21 = 224.03/x
  3. Step 3: Cross multiply
    247.21x = 369.21 × 224.03
  4. Step 4: Simplify right side
    247.21x = 82,714.01
  5. Step 5: Solve for x
    x = 82,714.01/247.21
  6. Step 6: Final answer
    x = 334.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.