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Finding the Fourth Proportional to 537.56, 806.36 and 152.80

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Solution

The fourth proportional to 537.56, 806.36 and 152.80 is: 229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.56 : 806.36 = 152.80 : x
  2. Step 2: Convert to fraction form
    537.56/806.36 = 152.80/x
  3. Step 3: Cross multiply
    537.56x = 806.36 × 152.80
  4. Step 4: Simplify right side
    537.56x = 123,211.81
  5. Step 5: Solve for x
    x = 123,211.81/537.56
  6. Step 6: Final answer
    x = 229.21

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