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Finding the Fourth Proportional to 461.89, 692.83 and 132.86

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Solution

The fourth proportional to 461.89, 692.83 and 132.86 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.89 : 692.83 = 132.86 : x
  2. Step 2: Convert to fraction form
    461.89/692.83 = 132.86/x
  3. Step 3: Cross multiply
    461.89x = 692.83 × 132.86
  4. Step 4: Simplify right side
    461.89x = 92,045.27
  5. Step 5: Solve for x
    x = 92,045.27/461.89
  6. Step 6: Final answer
    x = 199.28

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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.