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Finding the Fourth Proportional to 461.88, 692.84 and 137.27

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Solution

The fourth proportional to 461.88, 692.84 and 137.27 is: 205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.88 : 692.84 = 137.27 : x
  2. Step 2: Convert to fraction form
    461.88/692.84 = 137.27/x
  3. Step 3: Cross multiply
    461.88x = 692.84 × 137.27
  4. Step 4: Simplify right side
    461.88x = 95,107.19
  5. Step 5: Solve for x
    x = 95,107.19/461.88
  6. Step 6: Final answer
    x = 205.91

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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.