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Finding the Fourth Proportional to 255.78, 384.65 and 203.84

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Solution

The fourth proportional to 255.78, 384.65 and 203.84 is: 306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.78 : 384.65 = 203.84 : x
  2. Step 2: Convert to fraction form
    255.78/384.65 = 203.84/x
  3. Step 3: Cross multiply
    255.78x = 384.65 × 203.84
  4. Step 4: Simplify right side
    255.78x = 78,406.32
  5. Step 5: Solve for x
    x = 78,406.32/255.78
  6. Step 6: Final answer
    x = 306.54

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