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Finding the Fourth Proportional to 311.02, 466.98 and 149.02

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Solution

The fourth proportional to 311.02, 466.98 and 149.02 is: 223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.02 : 466.98 = 149.02 : x
  2. Step 2: Convert to fraction form
    311.02/466.98 = 149.02/x
  3. Step 3: Cross multiply
    311.02x = 466.98 × 149.02
  4. Step 4: Simplify right side
    311.02x = 69,589.36
  5. Step 5: Solve for x
    x = 69,589.36/311.02
  6. Step 6: Final answer
    x = 223.75

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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.