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Finding the Fourth Proportional to 441.63, 662.33 and 181.70

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Solution

The fourth proportional to 441.63, 662.33 and 181.70 is: 272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.63 : 662.33 = 181.70 : x
  2. Step 2: Convert to fraction form
    441.63/662.33 = 181.70/x
  3. Step 3: Cross multiply
    441.63x = 662.33 × 181.70
  4. Step 4: Simplify right side
    441.63x = 120,343.03
  5. Step 5: Solve for x
    x = 120,343.03/441.63
  6. Step 6: Final answer
    x = 272.50

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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.