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Finding the Fourth Proportional to 263.63, 364.01 and 205.31

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Solution

The fourth proportional to 263.63, 364.01 and 205.31 is: 283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.63 : 364.01 = 205.31 : x
  2. Step 2: Convert to fraction form
    263.63/364.01 = 205.31/x
  3. Step 3: Cross multiply
    263.63x = 364.01 × 205.31
  4. Step 4: Simplify right side
    263.63x = 74,732.05
  5. Step 5: Solve for x
    x = 74,732.05/263.63
  6. Step 6: Final answer
    x = 283.48

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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.