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Finding the Fourth Proportional to 225.72, 338.40 and 117.60

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Solution

The fourth proportional to 225.72, 338.40 and 117.60 is: 176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.72 : 338.40 = 117.60 : x
  2. Step 2: Convert to fraction form
    225.72/338.40 = 117.60/x
  3. Step 3: Cross multiply
    225.72x = 338.40 × 117.60
  4. Step 4: Simplify right side
    225.72x = 39,795.84
  5. Step 5: Solve for x
    x = 39,795.84/225.72
  6. Step 6: Final answer
    x = 176.31

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