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Finding the Fourth Proportional to 305.14, 457.80 and 112.78

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Solution

The fourth proportional to 305.14, 457.80 and 112.78 is: 169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.14 : 457.80 = 112.78 : x
  2. Step 2: Convert to fraction form
    305.14/457.80 = 112.78/x
  3. Step 3: Cross multiply
    305.14x = 457.80 × 112.78
  4. Step 4: Simplify right side
    305.14x = 51,630.68
  5. Step 5: Solve for x
    x = 51,630.68/305.14
  6. Step 6: Final answer
    x = 169.20

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