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Finding the Fourth Proportional to 311.20, 466.16 and 224.48

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Solution

The fourth proportional to 311.20, 466.16 and 224.48 is: 336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.20 : 466.16 = 224.48 : x
  2. Step 2: Convert to fraction form
    311.20/466.16 = 224.48/x
  3. Step 3: Cross multiply
    311.20x = 466.16 × 224.48
  4. Step 4: Simplify right side
    311.20x = 104,643.60
  5. Step 5: Solve for x
    x = 104,643.60/311.20
  6. Step 6: Final answer
    x = 336.26

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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.