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Finding the Fourth Proportional to 320.89, 443 and 196.58

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Solution

The fourth proportional to 320.89, 443 and 196.58 is: 271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.89 : 443 = 196.58 : x
  2. Step 2: Convert to fraction form
    320.89/443 = 196.58/x
  3. Step 3: Cross multiply
    320.89x = 443 × 196.58
  4. Step 4: Simplify right side
    320.89x = 87,084.94
  5. Step 5: Solve for x
    x = 87,084.94/320.89
  6. Step 6: Final answer
    x = 271.39

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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.