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Finding the Fourth Proportional to 461.65, 692.54 and 169.11

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Solution

The fourth proportional to 461.65, 692.54 and 169.11 is: 253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.65 : 692.54 = 169.11 : x
  2. Step 2: Convert to fraction form
    461.65/692.54 = 169.11/x
  3. Step 3: Cross multiply
    461.65x = 692.54 × 169.11
  4. Step 4: Simplify right side
    461.65x = 117,115.44
  5. Step 5: Solve for x
    x = 117,115.44/461.65
  6. Step 6: Final answer
    x = 253.69

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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.