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Finding the Fourth Proportional to 312.60, 431.39 and 196.14

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Solution

The fourth proportional to 312.60, 431.39 and 196.14 is: 270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.60 : 431.39 = 196.14 : x
  2. Step 2: Convert to fraction form
    312.60/431.39 = 196.14/x
  3. Step 3: Cross multiply
    312.60x = 431.39 × 196.14
  4. Step 4: Simplify right side
    312.60x = 84,611.85
  5. Step 5: Solve for x
    x = 84,611.85/312.60
  6. Step 6: Final answer
    x = 270.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.