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Finding the Fourth Proportional to 456.48, 684.18 and 167.58

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Solution

The fourth proportional to 456.48, 684.18 and 167.58 is: 251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.48 : 684.18 = 167.58 : x
  2. Step 2: Convert to fraction form
    456.48/684.18 = 167.58/x
  3. Step 3: Cross multiply
    456.48x = 684.18 × 167.58
  4. Step 4: Simplify right side
    456.48x = 114,654.88
  5. Step 5: Solve for x
    x = 114,654.88/456.48
  6. Step 6: Final answer
    x = 251.17

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