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Finding the Fourth Proportional to 311.09, 466.83 and 137.86

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Solution

The fourth proportional to 311.09, 466.83 and 137.86 is: 206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.09 : 466.83 = 137.86 : x
  2. Step 2: Convert to fraction form
    311.09/466.83 = 137.86/x
  3. Step 3: Cross multiply
    311.09x = 466.83 × 137.86
  4. Step 4: Simplify right side
    311.09x = 64,356.02
  5. Step 5: Solve for x
    x = 64,356.02/311.09
  6. Step 6: Final answer
    x = 206.88

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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.