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Finding the Fourth Proportional to 441.59, 661.69 and 163.57

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Solution

The fourth proportional to 441.59, 661.69 and 163.57 is: 245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.59 : 661.69 = 163.57 : x
  2. Step 2: Convert to fraction form
    441.59/661.69 = 163.57/x
  3. Step 3: Cross multiply
    441.59x = 661.69 × 163.57
  4. Step 4: Simplify right side
    441.59x = 108,230.57
  5. Step 5: Solve for x
    x = 108,230.57/441.59
  6. Step 6: Final answer
    x = 245.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.