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Finding the Fourth Proportional to 311.98, 467.23 and 157.42

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Solution

The fourth proportional to 311.98, 467.23 and 157.42 is: 235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.98 : 467.23 = 157.42 : x
  2. Step 2: Convert to fraction form
    311.98/467.23 = 157.42/x
  3. Step 3: Cross multiply
    311.98x = 467.23 × 157.42
  4. Step 4: Simplify right side
    311.98x = 73,551.35
  5. Step 5: Solve for x
    x = 73,551.35/311.98
  6. Step 6: Final answer
    x = 235.76

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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.