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Finding the Fourth Proportional to 461.68, 692.51 and 137.05

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Solution

The fourth proportional to 461.68, 692.51 and 137.05 is: 205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.68 : 692.51 = 137.05 : x
  2. Step 2: Convert to fraction form
    461.68/692.51 = 137.05/x
  3. Step 3: Cross multiply
    461.68x = 692.51 × 137.05
  4. Step 4: Simplify right side
    461.68x = 94,906.08
  5. Step 5: Solve for x
    x = 94,906.08/461.68
  6. Step 6: Final answer
    x = 205.57

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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.