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Finding the Fourth Proportional to 462.02, 692.86 and 169.42

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Solution

The fourth proportional to 462.02, 692.86 and 169.42 is: 254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.02 : 692.86 = 169.42 : x
  2. Step 2: Convert to fraction form
    462.02/692.86 = 169.42/x
  3. Step 3: Cross multiply
    462.02x = 692.86 × 169.42
  4. Step 4: Simplify right side
    462.02x = 117,383.49
  5. Step 5: Solve for x
    x = 117,383.49/462.02
  6. Step 6: Final answer
    x = 254.07

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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.