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Finding the Fourth Proportional to 305.78, 459.05 and 182.59

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Solution

The fourth proportional to 305.78, 459.05 and 182.59 is: 274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.78 : 459.05 = 182.59 : x
  2. Step 2: Convert to fraction form
    305.78/459.05 = 182.59/x
  3. Step 3: Cross multiply
    305.78x = 459.05 × 182.59
  4. Step 4: Simplify right side
    305.78x = 83,815.88
  5. Step 5: Solve for x
    x = 83,815.88/305.78
  6. Step 6: Final answer
    x = 274.11

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