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Finding the Fourth Proportional to 311.26, 466.30 and 208.24

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Solution

The fourth proportional to 311.26, 466.30 and 208.24 is: 311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.26 : 466.30 = 208.24 : x
  2. Step 2: Convert to fraction form
    311.26/466.30 = 208.24/x
  3. Step 3: Cross multiply
    311.26x = 466.30 × 208.24
  4. Step 4: Simplify right side
    311.26x = 97,102.31
  5. Step 5: Solve for x
    x = 97,102.31/311.26
  6. Step 6: Final answer
    x = 311.97

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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.