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Finding the Fourth Proportional to 461.82, 692.84 and 137.22

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Solution

The fourth proportional to 461.82, 692.84 and 137.22 is: 205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.82 : 692.84 = 137.22 : x
  2. Step 2: Convert to fraction form
    461.82/692.84 = 137.22/x
  3. Step 3: Cross multiply
    461.82x = 692.84 × 137.22
  4. Step 4: Simplify right side
    461.82x = 95,071.50
  5. Step 5: Solve for x
    x = 95,071.50/461.82
  6. Step 6: Final answer
    x = 205.86

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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.