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Finding the Fourth Proportional to 204.24, 280.56 and 201.84

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Solution

The fourth proportional to 204.24, 280.56 and 201.84 is: 277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.24 : 280.56 = 201.84 : x
  2. Step 2: Convert to fraction form
    204.24/280.56 = 201.84/x
  3. Step 3: Cross multiply
    204.24x = 280.56 × 201.84
  4. Step 4: Simplify right side
    204.24x = 56,628.23
  5. Step 5: Solve for x
    x = 56,628.23/204.24
  6. Step 6: Final answer
    x = 277.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.