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Finding the Fourth Proportional to 537.84, 806.76 and 153.09

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Solution

The fourth proportional to 537.84, 806.76 and 153.09 is: 229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.84 : 806.76 = 153.09 : x
  2. Step 2: Convert to fraction form
    537.84/806.76 = 153.09/x
  3. Step 3: Cross multiply
    537.84x = 806.76 × 153.09
  4. Step 4: Simplify right side
    537.84x = 123,506.89
  5. Step 5: Solve for x
    x = 123,506.89/537.84
  6. Step 6: Final answer
    x = 229.64

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