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Finding the Fourth Proportional to 357.78, 535.86 and 165

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Solution

The fourth proportional to 357.78, 535.86 and 165 is: 247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.78 : 535.86 = 165 : x
  2. Step 2: Convert to fraction form
    357.78/535.86 = 165/x
  3. Step 3: Cross multiply
    357.78x = 535.86 × 165
  4. Step 4: Simplify right side
    357.78x = 88,416.90
  5. Step 5: Solve for x
    x = 88,416.90/357.78
  6. Step 6: Final answer
    x = 247.13

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