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Finding the Fourth Proportional to 311.22, 467.08 and 220.01

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Solution

The fourth proportional to 311.22, 467.08 and 220.01 is: 330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.22 : 467.08 = 220.01 : x
  2. Step 2: Convert to fraction form
    311.22/467.08 = 220.01/x
  3. Step 3: Cross multiply
    311.22x = 467.08 × 220.01
  4. Step 4: Simplify right side
    311.22x = 102,759.39
  5. Step 5: Solve for x
    x = 102,759.39/311.22
  6. Step 6: Final answer
    x = 330.18

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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.