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Finding the Fourth Proportional to 311.42, 467.04 and 149.06

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Solution

The fourth proportional to 311.42, 467.04 and 149.06 is: 223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.42 : 467.04 = 149.06 : x
  2. Step 2: Convert to fraction form
    311.42/467.04 = 149.06/x
  3. Step 3: Cross multiply
    311.42x = 467.04 × 149.06
  4. Step 4: Simplify right side
    311.42x = 69,616.98
  5. Step 5: Solve for x
    x = 69,616.98/311.42
  6. Step 6: Final answer
    x = 223.55

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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.