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Finding the Fourth Proportional to 185.21, 277.57 and 98.53

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Solution

The fourth proportional to 185.21, 277.57 and 98.53 is: 147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.21 : 277.57 = 98.53 : x
  2. Step 2: Convert to fraction form
    185.21/277.57 = 98.53/x
  3. Step 3: Cross multiply
    185.21x = 277.57 × 98.53
  4. Step 4: Simplify right side
    185.21x = 27,348.97
  5. Step 5: Solve for x
    x = 27,348.97/185.21
  6. Step 6: Final answer
    x = 147.66

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