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Finding the Fourth Proportional to 186.75, 280.13 and 152.96

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Solution

The fourth proportional to 186.75, 280.13 and 152.96 is: 229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.75 : 280.13 = 152.96 : x
  2. Step 2: Convert to fraction form
    186.75/280.13 = 152.96/x
  3. Step 3: Cross multiply
    186.75x = 280.13 × 152.96
  4. Step 4: Simplify right side
    186.75x = 42,846.52
  5. Step 5: Solve for x
    x = 42,846.52/186.75
  6. Step 6: Final answer
    x = 229.43

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