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Finding the Fourth Proportional to 542.06, 813.01 and 176.81

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Solution

The fourth proportional to 542.06, 813.01 and 176.81 is: 265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.06 : 813.01 = 176.81 : x
  2. Step 2: Convert to fraction form
    542.06/813.01 = 176.81/x
  3. Step 3: Cross multiply
    542.06x = 813.01 × 176.81
  4. Step 4: Simplify right side
    542.06x = 143,748.30
  5. Step 5: Solve for x
    x = 143,748.30/542.06
  6. Step 6: Final answer
    x = 265.19

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