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Finding the Fourth Proportional to 256.37, 381.71 and 255.15

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Solution

The fourth proportional to 256.37, 381.71 and 255.15 is: 379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.37 : 381.71 = 255.15 : x
  2. Step 2: Convert to fraction form
    256.37/381.71 = 255.15/x
  3. Step 3: Cross multiply
    256.37x = 381.71 × 255.15
  4. Step 4: Simplify right side
    256.37x = 97,393.94
  5. Step 5: Solve for x
    x = 97,393.94/256.37
  6. Step 6: Final answer
    x = 379.90

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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.