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Finding the Fourth Proportional to 307.56, 461.40 and 163.20

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Solution

The fourth proportional to 307.56, 461.40 and 163.20 is: 244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.56 : 461.40 = 163.20 : x
  2. Step 2: Convert to fraction form
    307.56/461.40 = 163.20/x
  3. Step 3: Cross multiply
    307.56x = 461.40 × 163.20
  4. Step 4: Simplify right side
    307.56x = 75,300.48
  5. Step 5: Solve for x
    x = 75,300.48/307.56
  6. Step 6: Final answer
    x = 244.83

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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.