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Finding the Fourth Proportional to 461.66, 692.60 and 137.02

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Solution

The fourth proportional to 461.66, 692.60 and 137.02 is: 205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.66 : 692.60 = 137.02 : x
  2. Step 2: Convert to fraction form
    461.66/692.60 = 137.02/x
  3. Step 3: Cross multiply
    461.66x = 692.60 × 137.02
  4. Step 4: Simplify right side
    461.66x = 94,897.64
  5. Step 5: Solve for x
    x = 94,897.64/461.66
  6. Step 6: Final answer
    x = 205.56

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