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Finding the Fourth Proportional to 256.22, 381.87 and 243.26

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Solution

The fourth proportional to 256.22, 381.87 and 243.26 is: 362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.22 : 381.87 = 243.26 : x
  2. Step 2: Convert to fraction form
    256.22/381.87 = 243.26/x
  3. Step 3: Cross multiply
    256.22x = 381.87 × 243.26
  4. Step 4: Simplify right side
    256.22x = 92,893.70
  5. Step 5: Solve for x
    x = 92,893.70/256.22
  6. Step 6: Final answer
    x = 362.55

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