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Finding the Fourth Proportional to 441.56, 662.18 and 185.08

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Solution

The fourth proportional to 441.56, 662.18 and 185.08 is: 277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.56 : 662.18 = 185.08 : x
  2. Step 2: Convert to fraction form
    441.56/662.18 = 185.08/x
  3. Step 3: Cross multiply
    441.56x = 662.18 × 185.08
  4. Step 4: Simplify right side
    441.56x = 122,556.27
  5. Step 5: Solve for x
    x = 122,556.27/441.56
  6. Step 6: Final answer
    x = 277.55

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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.