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Finding the Fourth Proportional to 441.65, 662.37 and 149.16

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Solution

The fourth proportional to 441.65, 662.37 and 149.16 is: 223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.65 : 662.37 = 149.16 : x
  2. Step 2: Convert to fraction form
    441.65/662.37 = 149.16/x
  3. Step 3: Cross multiply
    441.65x = 662.37 × 149.16
  4. Step 4: Simplify right side
    441.65x = 98,799.11
  5. Step 5: Solve for x
    x = 98,799.11/441.65
  6. Step 6: Final answer
    x = 223.71

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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.