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Finding the Fourth Proportional to 185.16, 277.64 and 61.71

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Solution

The fourth proportional to 185.16, 277.64 and 61.71 is: 92.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.16 : 277.64 = 61.71 : x
  2. Step 2: Convert to fraction form
    185.16/277.64 = 61.71/x
  3. Step 3: Cross multiply
    185.16x = 277.64 × 61.71
  4. Step 4: Simplify right side
    185.16x = 17,133.16
  5. Step 5: Solve for x
    x = 17,133.16/185.16
  6. Step 6: Final answer
    x = 92.53

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