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Finding the Fourth Proportional to 281.91, 423 and 137.64

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Solution

The fourth proportional to 281.91, 423 and 137.64 is: 206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.91 : 423 = 137.64 : x
  2. Step 2: Convert to fraction form
    281.91/423 = 137.64/x
  3. Step 3: Cross multiply
    281.91x = 423 × 137.64
  4. Step 4: Simplify right side
    281.91x = 58,221.72
  5. Step 5: Solve for x
    x = 58,221.72/281.91
  6. Step 6: Final answer
    x = 206.53

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