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Finding the Fourth Proportional to 461.62, 692.61 and 173.26

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Solution

The fourth proportional to 461.62, 692.61 and 173.26 is: 259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.62 : 692.61 = 173.26 : x
  2. Step 2: Convert to fraction form
    461.62/692.61 = 173.26/x
  3. Step 3: Cross multiply
    461.62x = 692.61 × 173.26
  4. Step 4: Simplify right side
    461.62x = 120,001.61
  5. Step 5: Solve for x
    x = 120,001.61/461.62
  6. Step 6: Final answer
    x = 259.96

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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.