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Finding the Fourth Proportional to 543.84, 815.91 and 178.59

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Solution

The fourth proportional to 543.84, 815.91 and 178.59 is: 267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.84 : 815.91 = 178.59 : x
  2. Step 2: Convert to fraction form
    543.84/815.91 = 178.59/x
  3. Step 3: Cross multiply
    543.84x = 815.91 × 178.59
  4. Step 4: Simplify right side
    543.84x = 145,713.37
  5. Step 5: Solve for x
    x = 145,713.37/543.84
  6. Step 6: Final answer
    x = 267.93

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