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Finding the Fourth Proportional to 307.99, 461.67 and 163.81

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Solution

The fourth proportional to 307.99, 461.67 and 163.81 is: 245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.99 : 461.67 = 163.81 : x
  2. Step 2: Convert to fraction form
    307.99/461.67 = 163.81/x
  3. Step 3: Cross multiply
    307.99x = 461.67 × 163.81
  4. Step 4: Simplify right side
    307.99x = 75,626.16
  5. Step 5: Solve for x
    x = 75,626.16/307.99
  6. Step 6: Final answer
    x = 245.55

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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.