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Finding the Fourth Proportional to 311.09, 466.83 and 137.87

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Solution

The fourth proportional to 311.09, 466.83 and 137.87 is: 206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.09 : 466.83 = 137.87 : x
  2. Step 2: Convert to fraction form
    311.09/466.83 = 137.87/x
  3. Step 3: Cross multiply
    311.09x = 466.83 × 137.87
  4. Step 4: Simplify right side
    311.09x = 64,359.52
  5. Step 5: Solve for x
    x = 64,359.52/311.09
  6. Step 6: Final answer
    x = 206.89

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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.