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Finding the Fourth Proportional to 263.28, 395.52 and 182.28

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Solution

The fourth proportional to 263.28, 395.52 and 182.28 is: 273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.28 : 395.52 = 182.28 : x
  2. Step 2: Convert to fraction form
    263.28/395.52 = 182.28/x
  3. Step 3: Cross multiply
    263.28x = 395.52 × 182.28
  4. Step 4: Simplify right side
    263.28x = 72,095.39
  5. Step 5: Solve for x
    x = 72,095.39/263.28
  6. Step 6: Final answer
    x = 273.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.