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Finding the Fourth Proportional to 311.14, 465.79 and 164.54

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Solution

The fourth proportional to 311.14, 465.79 and 164.54 is: 246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.14 : 465.79 = 164.54 : x
  2. Step 2: Convert to fraction form
    311.14/465.79 = 164.54/x
  3. Step 3: Cross multiply
    311.14x = 465.79 × 164.54
  4. Step 4: Simplify right side
    311.14x = 76,641.09
  5. Step 5: Solve for x
    x = 76,641.09/311.14
  6. Step 6: Final answer
    x = 246.32

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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.