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Finding the Fourth Proportional to 462.31, 692.96 and 188.26

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Solution

The fourth proportional to 462.31, 692.96 and 188.26 is: 282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.31 : 692.96 = 188.26 : x
  2. Step 2: Convert to fraction form
    462.31/692.96 = 188.26/x
  3. Step 3: Cross multiply
    462.31x = 692.96 × 188.26
  4. Step 4: Simplify right side
    462.31x = 130,453.98
  5. Step 5: Solve for x
    x = 130,453.98/462.31
  6. Step 6: Final answer
    x = 282.18

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