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Finding the Fourth Proportional to 461.75, 692.57 and 169.46

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Solution

The fourth proportional to 461.75, 692.57 and 169.46 is: 254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.75 : 692.57 = 169.46 : x
  2. Step 2: Convert to fraction form
    461.75/692.57 = 169.46/x
  3. Step 3: Cross multiply
    461.75x = 692.57 × 169.46
  4. Step 4: Simplify right side
    461.75x = 117,362.47
  5. Step 5: Solve for x
    x = 117,362.47/461.75
  6. Step 6: Final answer
    x = 254.17

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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.