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Finding the Fourth Proportional to 302.80, 453.60 and 165.64

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Solution

The fourth proportional to 302.80, 453.60 and 165.64 is: 248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.80 : 453.60 = 165.64 : x
  2. Step 2: Convert to fraction form
    302.80/453.60 = 165.64/x
  3. Step 3: Cross multiply
    302.80x = 453.60 × 165.64
  4. Step 4: Simplify right side
    302.80x = 75,134.30
  5. Step 5: Solve for x
    x = 75,134.30/302.80
  6. Step 6: Final answer
    x = 248.13

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