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Finding the Fourth Proportional to 143.30, 196.43 and 141.21

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Solution

The fourth proportional to 143.30, 196.43 and 141.21 is: 193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.30 : 196.43 = 141.21 : x
  2. Step 2: Convert to fraction form
    143.30/196.43 = 141.21/x
  3. Step 3: Cross multiply
    143.30x = 196.43 × 141.21
  4. Step 4: Simplify right side
    143.30x = 27,737.17
  5. Step 5: Solve for x
    x = 27,737.17/143.30
  6. Step 6: Final answer
    x = 193.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.