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Finding the Fourth Proportional to 311.72, 467.52 and 189.68

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Solution

The fourth proportional to 311.72, 467.52 and 189.68 is: 284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.72 : 467.52 = 189.68 : x
  2. Step 2: Convert to fraction form
    311.72/467.52 = 189.68/x
  3. Step 3: Cross multiply
    311.72x = 467.52 × 189.68
  4. Step 4: Simplify right side
    311.72x = 88,679.19
  5. Step 5: Solve for x
    x = 88,679.19/311.72
  6. Step 6: Final answer
    x = 284.48

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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.