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Finding the Fourth Proportional to 311.70, 467.37 and 135.84

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Solution

The fourth proportional to 311.70, 467.37 and 135.84 is: 203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.70 : 467.37 = 135.84 : x
  2. Step 2: Convert to fraction form
    311.70/467.37 = 135.84/x
  3. Step 3: Cross multiply
    311.70x = 467.37 × 135.84
  4. Step 4: Simplify right side
    311.70x = 63,487.54
  5. Step 5: Solve for x
    x = 63,487.54/311.70
  6. Step 6: Final answer
    x = 203.68

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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.