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Finding the Fourth Proportional to 256.57, 353.77 and 201.29

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Solution

The fourth proportional to 256.57, 353.77 and 201.29 is: 277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.57 : 353.77 = 201.29 : x
  2. Step 2: Convert to fraction form
    256.57/353.77 = 201.29/x
  3. Step 3: Cross multiply
    256.57x = 353.77 × 201.29
  4. Step 4: Simplify right side
    256.57x = 71,208.09
  5. Step 5: Solve for x
    x = 71,208.09/256.57
  6. Step 6: Final answer
    x = 277.54

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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.