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Finding the Fourth Proportional to 253.23, 349.61 and 164.74

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Solution

The fourth proportional to 253.23, 349.61 and 164.74 is: 227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.23 : 349.61 = 164.74 : x
  2. Step 2: Convert to fraction form
    253.23/349.61 = 164.74/x
  3. Step 3: Cross multiply
    253.23x = 349.61 × 164.74
  4. Step 4: Simplify right side
    253.23x = 57,594.75
  5. Step 5: Solve for x
    x = 57,594.75/253.23
  6. Step 6: Final answer
    x = 227.44

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