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Finding the Fourth Proportional to 542.05, 813.16 and 176.75

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Solution

The fourth proportional to 542.05, 813.16 and 176.75 is: 265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.05 : 813.16 = 176.75 : x
  2. Step 2: Convert to fraction form
    542.05/813.16 = 176.75/x
  3. Step 3: Cross multiply
    542.05x = 813.16 × 176.75
  4. Step 4: Simplify right side
    542.05x = 143,725.76
  5. Step 5: Solve for x
    x = 143,725.76/542.05
  6. Step 6: Final answer
    x = 265.15

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