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Finding the Fourth Proportional to 295.65, 408 and 164.69

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Solution

The fourth proportional to 295.65, 408 and 164.69 is: 227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.65 : 408 = 164.69 : x
  2. Step 2: Convert to fraction form
    295.65/408 = 164.69/x
  3. Step 3: Cross multiply
    295.65x = 408 × 164.69
  4. Step 4: Simplify right side
    295.65x = 67,191.48
  5. Step 5: Solve for x
    x = 67,191.48/295.65
  6. Step 6: Final answer
    x = 227.27

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