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Finding the Fourth Proportional to 461.26, 692.00 and 153.09

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Solution

The fourth proportional to 461.26, 692.00 and 153.09 is: 229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.26 : 692.00 = 153.09 : x
  2. Step 2: Convert to fraction form
    461.26/692.00 = 153.09/x
  3. Step 3: Cross multiply
    461.26x = 692.00 × 153.09
  4. Step 4: Simplify right side
    461.26x = 105,938.09
  5. Step 5: Solve for x
    x = 105,938.09/461.26
  6. Step 6: Final answer
    x = 229.67

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