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Finding the Fourth Proportional to 277.86, 416.74 and 154.16

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Solution

The fourth proportional to 277.86, 416.74 and 154.16 is: 231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.86 : 416.74 = 154.16 : x
  2. Step 2: Convert to fraction form
    277.86/416.74 = 154.16/x
  3. Step 3: Cross multiply
    277.86x = 416.74 × 154.16
  4. Step 4: Simplify right side
    277.86x = 64,244.64
  5. Step 5: Solve for x
    x = 64,244.64/277.86
  6. Step 6: Final answer
    x = 231.21

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