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Finding the Fourth Proportional to 268.35, 399.83 and 256.55

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Solution

The fourth proportional to 268.35, 399.83 and 256.55 is: 382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.35 : 399.83 = 256.55 : x
  2. Step 2: Convert to fraction form
    268.35/399.83 = 256.55/x
  3. Step 3: Cross multiply
    268.35x = 399.83 × 256.55
  4. Step 4: Simplify right side
    268.35x = 102,576.39
  5. Step 5: Solve for x
    x = 102,576.39/268.35
  6. Step 6: Final answer
    x = 382.25

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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.