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Finding the Fourth Proportional to 461.98, 692.83 and 137.28

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Solution

The fourth proportional to 461.98, 692.83 and 137.28 is: 205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.98 : 692.83 = 137.28 : x
  2. Step 2: Convert to fraction form
    461.98/692.83 = 137.28/x
  3. Step 3: Cross multiply
    461.98x = 692.83 × 137.28
  4. Step 4: Simplify right side
    461.98x = 95,111.70
  5. Step 5: Solve for x
    x = 95,111.70/461.98
  6. Step 6: Final answer
    x = 205.88

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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.