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Finding the Fourth Proportional to 311.74, 467.12 and 165.49

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Solution

The fourth proportional to 311.74, 467.12 and 165.49 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.74 : 467.12 = 165.49 : x
  2. Step 2: Convert to fraction form
    311.74/467.12 = 165.49/x
  3. Step 3: Cross multiply
    311.74x = 467.12 × 165.49
  4. Step 4: Simplify right side
    311.74x = 77,300.53
  5. Step 5: Solve for x
    x = 77,300.53/311.74
  6. Step 6: Final answer
    x = 247.96

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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.