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Finding the Fourth Proportional to 307.96, 462.36 and 178.12

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Solution

The fourth proportional to 307.96, 462.36 and 178.12 is: 267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.96 : 462.36 = 178.12 : x
  2. Step 2: Convert to fraction form
    307.96/462.36 = 178.12/x
  3. Step 3: Cross multiply
    307.96x = 462.36 × 178.12
  4. Step 4: Simplify right side
    307.96x = 82,355.56
  5. Step 5: Solve for x
    x = 82,355.56/307.96
  6. Step 6: Final answer
    x = 267.42

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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.