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Finding the Fourth Proportional to 461.80, 692.80 and 137.20

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Solution

The fourth proportional to 461.80, 692.80 and 137.20 is: 205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.80 : 692.80 = 137.20 : x
  2. Step 2: Convert to fraction form
    461.80/692.80 = 137.20/x
  3. Step 3: Cross multiply
    461.80x = 692.80 × 137.20
  4. Step 4: Simplify right side
    461.80x = 95,052.16
  5. Step 5: Solve for x
    x = 95,052.16/461.80
  6. Step 6: Final answer
    x = 205.83

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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.