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Finding the Fourth Proportional to 258.74, 387.68 and 177.42

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Solution

The fourth proportional to 258.74, 387.68 and 177.42 is: 265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.74 : 387.68 = 177.42 : x
  2. Step 2: Convert to fraction form
    258.74/387.68 = 177.42/x
  3. Step 3: Cross multiply
    258.74x = 387.68 × 177.42
  4. Step 4: Simplify right side
    258.74x = 68,781.30
  5. Step 5: Solve for x
    x = 68,781.30/258.74
  6. Step 6: Final answer
    x = 265.84

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