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Finding the Fourth Proportional to 287.72, 430.78 and 184.84

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Solution

The fourth proportional to 287.72, 430.78 and 184.84 is: 276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.72 : 430.78 = 184.84 : x
  2. Step 2: Convert to fraction form
    287.72/430.78 = 184.84/x
  3. Step 3: Cross multiply
    287.72x = 430.78 × 184.84
  4. Step 4: Simplify right side
    287.72x = 79,625.38
  5. Step 5: Solve for x
    x = 79,625.38/287.72
  6. Step 6: Final answer
    x = 276.75

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