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Finding the Fourth Proportional to 311.16, 466.34 and 137.68

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Solution

The fourth proportional to 311.16, 466.34 and 137.68 is: 206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.16 : 466.34 = 137.68 : x
  2. Step 2: Convert to fraction form
    311.16/466.34 = 137.68/x
  3. Step 3: Cross multiply
    311.16x = 466.34 × 137.68
  4. Step 4: Simplify right side
    311.16x = 64,205.69
  5. Step 5: Solve for x
    x = 64,205.69/311.16
  6. Step 6: Final answer
    x = 206.34

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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.