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Finding the Fourth Proportional to 277.31, 416.00 and 114.91

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Solution

The fourth proportional to 277.31, 416.00 and 114.91 is: 172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.31 : 416.00 = 114.91 : x
  2. Step 2: Convert to fraction form
    277.31/416.00 = 114.91/x
  3. Step 3: Cross multiply
    277.31x = 416.00 × 114.91
  4. Step 4: Simplify right side
    277.31x = 47,801.81
  5. Step 5: Solve for x
    x = 47,801.81/277.31
  6. Step 6: Final answer
    x = 172.38

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