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Finding the Fourth Proportional to 143.27, 213.67 and 129.43

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Solution

The fourth proportional to 143.27, 213.67 and 129.43 is: 193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.27 : 213.67 = 129.43 : x
  2. Step 2: Convert to fraction form
    143.27/213.67 = 129.43/x
  3. Step 3: Cross multiply
    143.27x = 213.67 × 129.43
  4. Step 4: Simplify right side
    143.27x = 27,653.81
  5. Step 5: Solve for x
    x = 27,653.81/143.27
  6. Step 6: Final answer
    x = 193.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.