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Finding the Fourth Proportional to 461.97, 692.96 and 153.84

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Solution

The fourth proportional to 461.97, 692.96 and 153.84 is: 230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.97 : 692.96 = 153.84 : x
  2. Step 2: Convert to fraction form
    461.97/692.96 = 153.84/x
  3. Step 3: Cross multiply
    461.97x = 692.96 × 153.84
  4. Step 4: Simplify right side
    461.97x = 106,604.97
  5. Step 5: Solve for x
    x = 106,604.97/461.97
  6. Step 6: Final answer
    x = 230.76

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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.