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Finding the Fourth Proportional to 311.66, 429.87 and 213.24

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Solution

The fourth proportional to 311.66, 429.87 and 213.24 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.66 : 429.87 = 213.24 : x
  2. Step 2: Convert to fraction form
    311.66/429.87 = 213.24/x
  3. Step 3: Cross multiply
    311.66x = 429.87 × 213.24
  4. Step 4: Simplify right side
    311.66x = 91,665.48
  5. Step 5: Solve for x
    x = 91,665.48/311.66
  6. Step 6: Final answer
    x = 294.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.