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Finding the Fourth Proportional to 357, 535.71 and 164.64

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Solution

The fourth proportional to 357, 535.71 and 164.64 is: 247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357 : 535.71 = 164.64 : x
  2. Step 2: Convert to fraction form
    357/535.71 = 164.64/x
  3. Step 3: Cross multiply
    357x = 535.71 × 164.64
  4. Step 4: Simplify right side
    357x = 88,199.29
  5. Step 5: Solve for x
    x = 88,199.29/357
  6. Step 6: Final answer
    x = 247.06

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