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Finding the Fourth Proportional to 311.20, 466.36 and 229.64

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Solution

The fourth proportional to 311.20, 466.36 and 229.64 is: 344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.20 : 466.36 = 229.64 : x
  2. Step 2: Convert to fraction form
    311.20/466.36 = 229.64/x
  3. Step 3: Cross multiply
    311.20x = 466.36 × 229.64
  4. Step 4: Simplify right side
    311.20x = 107,094.91
  5. Step 5: Solve for x
    x = 107,094.91/311.20
  6. Step 6: Final answer
    x = 344.14

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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.