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Finding the Fourth Proportional to 307.94, 462.05 and 163.67

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Solution

The fourth proportional to 307.94, 462.05 and 163.67 is: 245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.94 : 462.05 = 163.67 : x
  2. Step 2: Convert to fraction form
    307.94/462.05 = 163.67/x
  3. Step 3: Cross multiply
    307.94x = 462.05 × 163.67
  4. Step 4: Simplify right side
    307.94x = 75,622.91
  5. Step 5: Solve for x
    x = 75,622.91/307.94
  6. Step 6: Final answer
    x = 245.58

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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.