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Finding the Fourth Proportional to 381.28, 526.16 and 206.62

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Solution

The fourth proportional to 381.28, 526.16 and 206.62 is: 285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.28 : 526.16 = 206.62 : x
  2. Step 2: Convert to fraction form
    381.28/526.16 = 206.62/x
  3. Step 3: Cross multiply
    381.28x = 526.16 × 206.62
  4. Step 4: Simplify right side
    381.28x = 108,717.34
  5. Step 5: Solve for x
    x = 108,717.34/381.28
  6. Step 6: Final answer
    x = 285.14

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