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Finding the Fourth Proportional to 461.88, 692.81 and 137.25

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Solution

The fourth proportional to 461.88, 692.81 and 137.25 is: 205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.88 : 692.81 = 137.25 : x
  2. Step 2: Convert to fraction form
    461.88/692.81 = 137.25/x
  3. Step 3: Cross multiply
    461.88x = 692.81 × 137.25
  4. Step 4: Simplify right side
    461.88x = 95,088.17
  5. Step 5: Solve for x
    x = 95,088.17/461.88
  6. Step 6: Final answer
    x = 205.87

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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.