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Finding the Fourth Proportional to 204.86, 283.29 and 201.22

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Solution

The fourth proportional to 204.86, 283.29 and 201.22 is: 278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.86 : 283.29 = 201.22 : x
  2. Step 2: Convert to fraction form
    204.86/283.29 = 201.22/x
  3. Step 3: Cross multiply
    204.86x = 283.29 × 201.22
  4. Step 4: Simplify right side
    204.86x = 57,002.20
  5. Step 5: Solve for x
    x = 57,002.20/204.86
  6. Step 6: Final answer
    x = 278.25

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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.