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Finding the Fourth Proportional to 176.28, 264.64 and 137.82

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Solution

The fourth proportional to 176.28, 264.64 and 137.82 is: 206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.28 : 264.64 = 137.82 : x
  2. Step 2: Convert to fraction form
    176.28/264.64 = 137.82/x
  3. Step 3: Cross multiply
    176.28x = 264.64 × 137.82
  4. Step 4: Simplify right side
    176.28x = 36,472.68
  5. Step 5: Solve for x
    x = 36,472.68/176.28
  6. Step 6: Final answer
    x = 206.90

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