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Finding the Fourth Proportional to 256.82, 382.73 and 249.01

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Solution

The fourth proportional to 256.82, 382.73 and 249.01 is: 371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.82 : 382.73 = 249.01 : x
  2. Step 2: Convert to fraction form
    256.82/382.73 = 249.01/x
  3. Step 3: Cross multiply
    256.82x = 382.73 × 249.01
  4. Step 4: Simplify right side
    256.82x = 95,301.40
  5. Step 5: Solve for x
    x = 95,301.40/256.82
  6. Step 6: Final answer
    x = 371.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.