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Finding the Fourth Proportional to 245.14, 367.39 and 164.05

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Solution

The fourth proportional to 245.14, 367.39 and 164.05 is: 245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.14 : 367.39 = 164.05 : x
  2. Step 2: Convert to fraction form
    245.14/367.39 = 164.05/x
  3. Step 3: Cross multiply
    245.14x = 367.39 × 164.05
  4. Step 4: Simplify right side
    245.14x = 60,270.33
  5. Step 5: Solve for x
    x = 60,270.33/245.14
  6. Step 6: Final answer
    x = 245.86

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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.