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Finding the Fourth Proportional to 245.96, 367.41 and 181.96

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Solution

The fourth proportional to 245.96, 367.41 and 181.96 is: 271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.96 : 367.41 = 181.96 : x
  2. Step 2: Convert to fraction form
    245.96/367.41 = 181.96/x
  3. Step 3: Cross multiply
    245.96x = 367.41 × 181.96
  4. Step 4: Simplify right side
    245.96x = 66,853.92
  5. Step 5: Solve for x
    x = 66,853.92/245.96
  6. Step 6: Final answer
    x = 271.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.