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Finding the Fourth Proportional to 462.26, 692.71 and 188.02

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Solution

The fourth proportional to 462.26, 692.71 and 188.02 is: 281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.26 : 692.71 = 188.02 : x
  2. Step 2: Convert to fraction form
    462.26/692.71 = 188.02/x
  3. Step 3: Cross multiply
    462.26x = 692.71 × 188.02
  4. Step 4: Simplify right side
    462.26x = 130,243.33
  5. Step 5: Solve for x
    x = 130,243.33/462.26
  6. Step 6: Final answer
    x = 281.75

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