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Finding the Fourth Proportional to 313.26, 432.41 and 196.80

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Solution

The fourth proportional to 313.26, 432.41 and 196.80 is: 271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.26 : 432.41 = 196.80 : x
  2. Step 2: Convert to fraction form
    313.26/432.41 = 196.80/x
  3. Step 3: Cross multiply
    313.26x = 432.41 × 196.80
  4. Step 4: Simplify right side
    313.26x = 85,096.62
  5. Step 5: Solve for x
    x = 85,096.62/313.26
  6. Step 6: Final answer
    x = 271.65

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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.