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Finding the Fourth Proportional to 206.09, 283.89 and 143.81

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Solution

The fourth proportional to 206.09, 283.89 and 143.81 is: 198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.09 : 283.89 = 143.81 : x
  2. Step 2: Convert to fraction form
    206.09/283.89 = 143.81/x
  3. Step 3: Cross multiply
    206.09x = 283.89 × 143.81
  4. Step 4: Simplify right side
    206.09x = 40,826.22
  5. Step 5: Solve for x
    x = 40,826.22/206.09
  6. Step 6: Final answer
    x = 198.10

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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.