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Finding the Fourth Proportional to 461.54, 692.46 and 153.44

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Solution

The fourth proportional to 461.54, 692.46 and 153.44 is: 230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.54 : 692.46 = 153.44 : x
  2. Step 2: Convert to fraction form
    461.54/692.46 = 153.44/x
  3. Step 3: Cross multiply
    461.54x = 692.46 × 153.44
  4. Step 4: Simplify right side
    461.54x = 106,251.06
  5. Step 5: Solve for x
    x = 106,251.06/461.54
  6. Step 6: Final answer
    x = 230.21

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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.