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Finding the Fourth Proportional to 256.21, 382.76 and 254.86

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Solution

The fourth proportional to 256.21, 382.76 and 254.86 is: 380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.21 : 382.76 = 254.86 : x
  2. Step 2: Convert to fraction form
    256.21/382.76 = 254.86/x
  3. Step 3: Cross multiply
    256.21x = 382.76 × 254.86
  4. Step 4: Simplify right side
    256.21x = 97,550.21
  5. Step 5: Solve for x
    x = 97,550.21/256.21
  6. Step 6: Final answer
    x = 380.74

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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.