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Finding the Fourth Proportional to 312.66, 431.34 and 196.20

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Solution

The fourth proportional to 312.66, 431.34 and 196.20 is: 270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.66 : 431.34 = 196.20 : x
  2. Step 2: Convert to fraction form
    312.66/431.34 = 196.20/x
  3. Step 3: Cross multiply
    312.66x = 431.34 × 196.20
  4. Step 4: Simplify right side
    312.66x = 84,628.91
  5. Step 5: Solve for x
    x = 84,628.91/312.66
  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.