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Finding the Fourth Proportional to 307.76, 461.16 and 163.40

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Solution

The fourth proportional to 307.76, 461.16 and 163.40 is: 244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.76 : 461.16 = 163.40 : x
  2. Step 2: Convert to fraction form
    307.76/461.16 = 163.40/x
  3. Step 3: Cross multiply
    307.76x = 461.16 × 163.40
  4. Step 4: Simplify right side
    307.76x = 75,353.54
  5. Step 5: Solve for x
    x = 75,353.54/307.76
  6. Step 6: Final answer
    x = 244.85

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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.