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Finding the Fourth Proportional to 311.36, 467.01 and 189.23

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Solution

The fourth proportional to 311.36, 467.01 and 189.23 is: 283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.36 : 467.01 = 189.23 : x
  2. Step 2: Convert to fraction form
    311.36/467.01 = 189.23/x
  3. Step 3: Cross multiply
    311.36x = 467.01 × 189.23
  4. Step 4: Simplify right side
    311.36x = 88,369.97
  5. Step 5: Solve for x
    x = 88,369.97/311.36
  6. Step 6: Final answer
    x = 283.82

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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.