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Finding the Fourth Proportional to 311.29, 467 and 128.63

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Solution

The fourth proportional to 311.29, 467 and 128.63 is: 192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.29 : 467 = 128.63 : x
  2. Step 2: Convert to fraction form
    311.29/467 = 128.63/x
  3. Step 3: Cross multiply
    311.29x = 467 × 128.63
  4. Step 4: Simplify right side
    311.29x = 60,070.21
  5. Step 5: Solve for x
    x = 60,070.21/311.29
  6. Step 6: Final answer
    x = 192.97

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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.