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Finding the Fourth Proportional to 461.93, 692.85 and 137.27

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Solution

The fourth proportional to 461.93, 692.85 and 137.27 is: 205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.93 : 692.85 = 137.27 : x
  2. Step 2: Convert to fraction form
    461.93/692.85 = 137.27/x
  3. Step 3: Cross multiply
    461.93x = 692.85 × 137.27
  4. Step 4: Simplify right side
    461.93x = 95,108.74
  5. Step 5: Solve for x
    x = 95,108.74/461.93
  6. Step 6: Final answer
    x = 205.89

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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.