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Finding the Fourth Proportional to 537.53, 806.23 and 152.75

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Solution

The fourth proportional to 537.53, 806.23 and 152.75 is: 229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.53 : 806.23 = 152.75 : x
  2. Step 2: Convert to fraction form
    537.53/806.23 = 152.75/x
  3. Step 3: Cross multiply
    537.53x = 806.23 × 152.75
  4. Step 4: Simplify right side
    537.53x = 123,151.63
  5. Step 5: Solve for x
    x = 123,151.63/537.53
  6. Step 6: Final answer
    x = 229.11

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