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Finding the Fourth Proportional to 311.07, 467.00 and 189.57

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Solution

The fourth proportional to 311.07, 467.00 and 189.57 is: 284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.07 : 467.00 = 189.57 : x
  2. Step 2: Convert to fraction form
    311.07/467.00 = 189.57/x
  3. Step 3: Cross multiply
    311.07x = 467.00 × 189.57
  4. Step 4: Simplify right side
    311.07x = 88,528.24
  5. Step 5: Solve for x
    x = 88,528.24/311.07
  6. Step 6: Final answer
    x = 284.59

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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.