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Finding the Fourth Proportional to 311.29, 466.76 and 105.77

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Solution

The fourth proportional to 311.29, 466.76 and 105.77 is: 158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.29 : 466.76 = 105.77 : x
  2. Step 2: Convert to fraction form
    311.29/466.76 = 105.77/x
  3. Step 3: Cross multiply
    311.29x = 466.76 × 105.77
  4. Step 4: Simplify right side
    311.29x = 49,370.64
  5. Step 5: Solve for x
    x = 49,370.64/311.29
  6. Step 6: Final answer
    x = 158.60

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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.