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Finding the Fourth Proportional to 311.34, 466.85 and 105.84

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Solution

The fourth proportional to 311.34, 466.85 and 105.84 is: 158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.34 : 466.85 = 105.84 : x
  2. Step 2: Convert to fraction form
    311.34/466.85 = 105.84/x
  3. Step 3: Cross multiply
    311.34x = 466.85 × 105.84
  4. Step 4: Simplify right side
    311.34x = 49,411.67
  5. Step 5: Solve for x
    x = 49,411.67/311.34
  6. Step 6: Final answer
    x = 158.71

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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.