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Finding the Fourth Proportional to 256.77, 382.82 and 241.29

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Solution

The fourth proportional to 256.77, 382.82 and 241.29 is: 359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.77 : 382.82 = 241.29 : x
  2. Step 2: Convert to fraction form
    256.77/382.82 = 241.29/x
  3. Step 3: Cross multiply
    256.77x = 382.82 × 241.29
  4. Step 4: Simplify right side
    256.77x = 92,369.43
  5. Step 5: Solve for x
    x = 92,369.43/256.77
  6. Step 6: Final answer
    x = 359.74

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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.