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Finding the Fourth Proportional to 461.63, 692.57 and 184.05

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Solution

The fourth proportional to 461.63, 692.57 and 184.05 is: 276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.63 : 692.57 = 184.05 : x
  2. Step 2: Convert to fraction form
    461.63/692.57 = 184.05/x
  3. Step 3: Cross multiply
    461.63x = 692.57 × 184.05
  4. Step 4: Simplify right side
    461.63x = 127,466.59
  5. Step 5: Solve for x
    x = 127,466.59/461.63
  6. Step 6: Final answer
    x = 276.13

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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.