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Finding the Fourth Proportional to 465.91, 698.83 and 157.77

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Solution

The fourth proportional to 465.91, 698.83 and 157.77 is: 236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.91 : 698.83 = 157.77 : x
  2. Step 2: Convert to fraction form
    465.91/698.83 = 157.77/x
  3. Step 3: Cross multiply
    465.91x = 698.83 × 157.77
  4. Step 4: Simplify right side
    465.91x = 110,254.41
  5. Step 5: Solve for x
    x = 110,254.41/465.91
  6. Step 6: Final answer
    x = 236.64

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