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Finding the Fourth Proportional to 311.65, 466.85 and 149.44

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Solution

The fourth proportional to 311.65, 466.85 and 149.44 is: 223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.65 : 466.85 = 149.44 : x
  2. Step 2: Convert to fraction form
    311.65/466.85 = 149.44/x
  3. Step 3: Cross multiply
    311.65x = 466.85 × 149.44
  4. Step 4: Simplify right side
    311.65x = 69,762.98
  5. Step 5: Solve for x
    x = 69,762.98/311.65
  6. Step 6: Final answer
    x = 223.85

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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.