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Finding the Fourth Proportional to 461.61, 692.06 and 169.05

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Solution

The fourth proportional to 461.61, 692.06 and 169.05 is: 253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.61 : 692.06 = 169.05 : x
  2. Step 2: Convert to fraction form
    461.61/692.06 = 169.05/x
  3. Step 3: Cross multiply
    461.61x = 692.06 × 169.05
  4. Step 4: Simplify right side
    461.61x = 116,991.90
  5. Step 5: Solve for x
    x = 116,991.90/461.61
  6. Step 6: Final answer
    x = 253.44

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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.