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Finding the Fourth Proportional to 311.08, 466.08 and 229.54

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Solution

The fourth proportional to 311.08, 466.08 and 229.54 is: 343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.08 : 466.08 = 229.54 : x
  2. Step 2: Convert to fraction form
    311.08/466.08 = 229.54/x
  3. Step 3: Cross multiply
    311.08x = 466.08 × 229.54
  4. Step 4: Simplify right side
    311.08x = 106,984.00
  5. Step 5: Solve for x
    x = 106,984.00/311.08
  6. Step 6: Final answer
    x = 343.91

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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.