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Finding the Fourth Proportional to 461.54, 692.13 and 183.80

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Solution

The fourth proportional to 461.54, 692.13 and 183.80 is: 275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.54 : 692.13 = 183.80 : x
  2. Step 2: Convert to fraction form
    461.54/692.13 = 183.80/x
  3. Step 3: Cross multiply
    461.54x = 692.13 × 183.80
  4. Step 4: Simplify right side
    461.54x = 127,213.49
  5. Step 5: Solve for x
    x = 127,213.49/461.54
  6. Step 6: Final answer
    x = 275.63

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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.