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Finding the Fourth Proportional to 328.03, 452.34 and 196.97

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Solution

The fourth proportional to 328.03, 452.34 and 196.97 is: 271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.03 : 452.34 = 196.97 : x
  2. Step 2: Convert to fraction form
    328.03/452.34 = 196.97/x
  3. Step 3: Cross multiply
    328.03x = 452.34 × 196.97
  4. Step 4: Simplify right side
    328.03x = 89,095.15
  5. Step 5: Solve for x
    x = 89,095.15/328.03
  6. Step 6: Final answer
    x = 271.61

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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.