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Finding the Fourth Proportional to 534.86, 802.23 and 144.84

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Solution

The fourth proportional to 534.86, 802.23 and 144.84 is: 217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.86 : 802.23 = 144.84 : x
  2. Step 2: Convert to fraction form
    534.86/802.23 = 144.84/x
  3. Step 3: Cross multiply
    534.86x = 802.23 × 144.84
  4. Step 4: Simplify right side
    534.86x = 116,194.99
  5. Step 5: Solve for x
    x = 116,194.99/534.86
  6. Step 6: Final answer
    x = 217.24

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