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Finding the Fourth Proportional to 461.83, 692.78 and 137.23

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Solution

The fourth proportional to 461.83, 692.78 and 137.23 is: 205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.83 : 692.78 = 137.23 : x
  2. Step 2: Convert to fraction form
    461.83/692.78 = 137.23/x
  3. Step 3: Cross multiply
    461.83x = 692.78 × 137.23
  4. Step 4: Simplify right side
    461.83x = 95,070.20
  5. Step 5: Solve for x
    x = 95,070.20/461.83
  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.