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Finding the Fourth Proportional to 311.14, 466.59 and 105.66

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Solution

The fourth proportional to 311.14, 466.59 and 105.66 is: 158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.14 : 466.59 = 105.66 : x
  2. Step 2: Convert to fraction form
    311.14/466.59 = 105.66/x
  3. Step 3: Cross multiply
    311.14x = 466.59 × 105.66
  4. Step 4: Simplify right side
    311.14x = 49,299.90
  5. Step 5: Solve for x
    x = 49,299.90/311.14
  6. Step 6: Final answer
    x = 158.45

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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.