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Finding the Fourth Proportional to 461.97, 692.70 and 153.74

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Solution

The fourth proportional to 461.97, 692.70 and 153.74 is: 230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.97 : 692.70 = 153.74 : x
  2. Step 2: Convert to fraction form
    461.97/692.70 = 153.74/x
  3. Step 3: Cross multiply
    461.97x = 692.70 × 153.74
  4. Step 4: Simplify right side
    461.97x = 106,495.70
  5. Step 5: Solve for x
    x = 106,495.70/461.97
  6. Step 6: Final answer
    x = 230.53

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