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Finding the Fourth Proportional to 256.56, 382.26 and 240

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Solution

The fourth proportional to 256.56, 382.26 and 240 is: 357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.56 : 382.26 = 240 : x
  2. Step 2: Convert to fraction form
    256.56/382.26 = 240/x
  3. Step 3: Cross multiply
    256.56x = 382.26 × 240
  4. Step 4: Simplify right side
    256.56x = 91,742.40
  5. Step 5: Solve for x
    x = 91,742.40/256.56
  6. Step 6: Final answer
    x = 357.59

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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.