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Finding the Fourth Proportional to 338.38, 507.77 and 146

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Solution

The fourth proportional to 338.38, 507.77 and 146 is: 219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.38 : 507.77 = 146 : x
  2. Step 2: Convert to fraction form
    338.38/507.77 = 146/x
  3. Step 3: Cross multiply
    338.38x = 507.77 × 146
  4. Step 4: Simplify right side
    338.38x = 74,134.42
  5. Step 5: Solve for x
    x = 74,134.42/338.38
  6. Step 6: Final answer
    x = 219.09

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