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Finding the Fourth Proportional to 204.68, 283.58 and 200.36

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Solution

The fourth proportional to 204.68, 283.58 and 200.36 is: 277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.68 : 283.58 = 200.36 : x
  2. Step 2: Convert to fraction form
    204.68/283.58 = 200.36/x
  3. Step 3: Cross multiply
    204.68x = 283.58 × 200.36
  4. Step 4: Simplify right side
    204.68x = 56,818.09
  5. Step 5: Solve for x
    x = 56,818.09/204.68
  6. Step 6: Final answer
    x = 277.59

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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.