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Finding the Fourth Proportional to 256.26, 383.82 and 201.27

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Solution

The fourth proportional to 256.26, 383.82 and 201.27 is: 301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 383.82 = 201.27 : x
  2. Step 2: Convert to fraction form
    256.26/383.82 = 201.27/x
  3. Step 3: Cross multiply
    256.26x = 383.82 × 201.27
  4. Step 4: Simplify right side
    256.26x = 77,251.45
  5. Step 5: Solve for x
    x = 77,251.45/256.26
  6. Step 6: Final answer
    x = 301.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.