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Finding the Fourth Proportional to 256.82, 382.57 and 241.13

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Solution

The fourth proportional to 256.82, 382.57 and 241.13 is: 359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.82 : 382.57 = 241.13 : x
  2. Step 2: Convert to fraction form
    256.82/382.57 = 241.13/x
  3. Step 3: Cross multiply
    256.82x = 382.57 × 241.13
  4. Step 4: Simplify right side
    256.82x = 92,248.66
  5. Step 5: Solve for x
    x = 92,248.66/256.82
  6. Step 6: Final answer
    x = 359.19

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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.