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Finding the Fourth Proportional to 235.45, 352.40 and 212.99

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Solution

The fourth proportional to 235.45, 352.40 and 212.99 is: 318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.45 : 352.40 = 212.99 : x
  2. Step 2: Convert to fraction form
    235.45/352.40 = 212.99/x
  3. Step 3: Cross multiply
    235.45x = 352.40 × 212.99
  4. Step 4: Simplify right side
    235.45x = 75,057.68
  5. Step 5: Solve for x
    x = 75,057.68/235.45
  6. Step 6: Final answer
    x = 318.79

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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.