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Finding the Fourth Proportional to 337.62, 465.90 and 206.64

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Solution

The fourth proportional to 337.62, 465.90 and 206.64 is: 285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.62 : 465.90 = 206.64 : x
  2. Step 2: Convert to fraction form
    337.62/465.90 = 206.64/x
  3. Step 3: Cross multiply
    337.62x = 465.90 × 206.64
  4. Step 4: Simplify right side
    337.62x = 96,273.58
  5. Step 5: Solve for x
    x = 96,273.58/337.62
  6. Step 6: Final answer
    x = 285.15

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