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Finding the Fourth Proportional to 262.52, 362.20 and 152

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Solution

The fourth proportional to 262.52, 362.20 and 152 is: 209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.52 : 362.20 = 152 : x
  2. Step 2: Convert to fraction form
    262.52/362.20 = 152/x
  3. Step 3: Cross multiply
    262.52x = 362.20 × 152
  4. Step 4: Simplify right side
    262.52x = 55,054.40
  5. Step 5: Solve for x
    x = 55,054.40/262.52
  6. Step 6: Final answer
    x = 209.72

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