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Finding the Fourth Proportional to 264.83, 396.17 and 221.63

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Solution

The fourth proportional to 264.83, 396.17 and 221.63 is: 331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.83 : 396.17 = 221.63 : x
  2. Step 2: Convert to fraction form
    264.83/396.17 = 221.63/x
  3. Step 3: Cross multiply
    264.83x = 396.17 × 221.63
  4. Step 4: Simplify right side
    264.83x = 87,803.04
  5. Step 5: Solve for x
    x = 87,803.04/264.83
  6. Step 6: Final answer
    x = 331.54

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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.