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Finding the Fourth Proportional to 311.75, 466.70 and 218.88

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Solution

The fourth proportional to 311.75, 466.70 and 218.88 is: 327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.75 : 466.70 = 218.88 : x
  2. Step 2: Convert to fraction form
    311.75/466.70 = 218.88/x
  3. Step 3: Cross multiply
    311.75x = 466.70 × 218.88
  4. Step 4: Simplify right side
    311.75x = 102,151.84
  5. Step 5: Solve for x
    x = 102,151.84/311.75
  6. Step 6: Final answer
    x = 327.68

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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.