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Finding the Fourth Proportional to 264.27, 398.73 and 255.18

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Solution

The fourth proportional to 264.27, 398.73 and 255.18 is: 385.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.27 : 398.73 = 255.18 : x
  2. Step 2: Convert to fraction form
    264.27/398.73 = 255.18/x
  3. Step 3: Cross multiply
    264.27x = 398.73 × 255.18
  4. Step 4: Simplify right side
    264.27x = 101,747.92
  5. Step 5: Solve for x
    x = 101,747.92/264.27
  6. Step 6: Final answer
    x = 385.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.