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Finding the Fourth Proportional to 461.70, 692.63 and 169.22

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Solution

The fourth proportional to 461.70, 692.63 and 169.22 is: 253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.70 : 692.63 = 169.22 : x
  2. Step 2: Convert to fraction form
    461.70/692.63 = 169.22/x
  3. Step 3: Cross multiply
    461.70x = 692.63 × 169.22
  4. Step 4: Simplify right side
    461.70x = 117,202.54
  5. Step 5: Solve for x
    x = 117,202.54/461.70
  6. Step 6: Final answer
    x = 253.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.