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Finding the Fourth Proportional to 165.81, 229.01 and 152.64

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Solution

The fourth proportional to 165.81, 229.01 and 152.64 is: 210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.81 : 229.01 = 152.64 : x
  2. Step 2: Convert to fraction form
    165.81/229.01 = 152.64/x
  3. Step 3: Cross multiply
    165.81x = 229.01 × 152.64
  4. Step 4: Simplify right side
    165.81x = 34,956.09
  5. Step 5: Solve for x
    x = 34,956.09/165.81
  6. Step 6: Final answer
    x = 210.82

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