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Finding the Fourth Proportional to 311.18, 466.53 and 189.41

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Solution

The fourth proportional to 311.18, 466.53 and 189.41 is: 283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.18 : 466.53 = 189.41 : x
  2. Step 2: Convert to fraction form
    311.18/466.53 = 189.41/x
  3. Step 3: Cross multiply
    311.18x = 466.53 × 189.41
  4. Step 4: Simplify right side
    311.18x = 88,365.45
  5. Step 5: Solve for x
    x = 88,365.45/311.18
  6. Step 6: Final answer
    x = 283.97

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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.