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Finding the Fourth Proportional to 329.41, 454.53 and 196.67

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Solution

The fourth proportional to 329.41, 454.53 and 196.67 is: 271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.41 : 454.53 = 196.67 : x
  2. Step 2: Convert to fraction form
    329.41/454.53 = 196.67/x
  3. Step 3: Cross multiply
    329.41x = 454.53 × 196.67
  4. Step 4: Simplify right side
    329.41x = 89,393.55
  5. Step 5: Solve for x
    x = 89,393.55/329.41
  6. Step 6: Final answer
    x = 271.38

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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.