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Finding the Fourth Proportional to 283.54, 424.65 and 185.98

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Solution

The fourth proportional to 283.54, 424.65 and 185.98 is: 278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.54 : 424.65 = 185.98 : x
  2. Step 2: Convert to fraction form
    283.54/424.65 = 185.98/x
  3. Step 3: Cross multiply
    283.54x = 424.65 × 185.98
  4. Step 4: Simplify right side
    283.54x = 78,976.41
  5. Step 5: Solve for x
    x = 78,976.41/283.54
  6. Step 6: Final answer
    x = 278.54

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