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Finding the Fourth Proportional to 233.83, 322.67 and 144.08

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Solution

The fourth proportional to 233.83, 322.67 and 144.08 is: 198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.83 : 322.67 = 144.08 : x
  2. Step 2: Convert to fraction form
    233.83/322.67 = 144.08/x
  3. Step 3: Cross multiply
    233.83x = 322.67 × 144.08
  4. Step 4: Simplify right side
    233.83x = 46,491.46
  5. Step 5: Solve for x
    x = 46,491.46/233.83
  6. Step 6: Final answer
    x = 198.83

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