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Finding the Fourth Proportional to 204.63, 283.67 and 194.06

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Solution

The fourth proportional to 204.63, 283.67 and 194.06 is: 269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.63 : 283.67 = 194.06 : x
  2. Step 2: Convert to fraction form
    204.63/283.67 = 194.06/x
  3. Step 3: Cross multiply
    204.63x = 283.67 × 194.06
  4. Step 4: Simplify right side
    204.63x = 55,049.47
  5. Step 5: Solve for x
    x = 55,049.47/204.63
  6. Step 6: Final answer
    x = 269.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.