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Finding the Fourth Proportional to 543.16, 814.56 and 177.87

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Solution

The fourth proportional to 543.16, 814.56 and 177.87 is: 266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.16 : 814.56 = 177.87 : x
  2. Step 2: Convert to fraction form
    543.16/814.56 = 177.87/x
  3. Step 3: Cross multiply
    543.16x = 814.56 × 177.87
  4. Step 4: Simplify right side
    543.16x = 144,885.79
  5. Step 5: Solve for x
    x = 144,885.79/543.16
  6. Step 6: Final answer
    x = 266.75

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