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Finding the Fourth Proportional to 311.12, 466.34 and 164.77

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Solution

The fourth proportional to 311.12, 466.34 and 164.77 is: 246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.12 : 466.34 = 164.77 : x
  2. Step 2: Convert to fraction form
    311.12/466.34 = 164.77/x
  3. Step 3: Cross multiply
    311.12x = 466.34 × 164.77
  4. Step 4: Simplify right side
    311.12x = 76,841.40
  5. Step 5: Solve for x
    x = 76,841.40/311.12
  6. Step 6: Final answer
    x = 246.99

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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.