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Finding the Fourth Proportional to 277.71, 416.12 and 175.02

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Solution

The fourth proportional to 277.71, 416.12 and 175.02 is: 262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.71 : 416.12 = 175.02 : x
  2. Step 2: Convert to fraction form
    277.71/416.12 = 175.02/x
  3. Step 3: Cross multiply
    277.71x = 416.12 × 175.02
  4. Step 4: Simplify right side
    277.71x = 72,828.45
  5. Step 5: Solve for x
    x = 72,828.45/277.71
  6. Step 6: Final answer
    x = 262.25

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