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Finding the Fourth Proportional to 441.48, 662.26 and 181.36

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Solution

The fourth proportional to 441.48, 662.26 and 181.36 is: 272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.48 : 662.26 = 181.36 : x
  2. Step 2: Convert to fraction form
    441.48/662.26 = 181.36/x
  3. Step 3: Cross multiply
    441.48x = 662.26 × 181.36
  4. Step 4: Simplify right side
    441.48x = 120,105.36
  5. Step 5: Solve for x
    x = 120,105.36/441.48
  6. Step 6: Final answer
    x = 272.05

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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.