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Finding the Fourth Proportional to 543.16, 814.74 and 177.95

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Solution

The fourth proportional to 543.16, 814.74 and 177.95 is: 266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.16 : 814.74 = 177.95 : x
  2. Step 2: Convert to fraction form
    543.16/814.74 = 177.95/x
  3. Step 3: Cross multiply
    543.16x = 814.74 × 177.95
  4. Step 4: Simplify right side
    543.16x = 144,982.98
  5. Step 5: Solve for x
    x = 144,982.98/543.16
  6. Step 6: Final answer
    x = 266.93

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