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Finding the Fourth Proportional to 281.23, 421.84 and 75.82

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Solution

The fourth proportional to 281.23, 421.84 and 75.82 is: 113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.23 : 421.84 = 75.82 : x
  2. Step 2: Convert to fraction form
    281.23/421.84 = 75.82/x
  3. Step 3: Cross multiply
    281.23x = 421.84 × 75.82
  4. Step 4: Simplify right side
    281.23x = 31,981.85
  5. Step 5: Solve for x
    x = 31,981.85/281.23
  6. Step 6: Final answer
    x = 113.72

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