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Finding the Fourth Proportional to 268.94, 403.65 and 166.42

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Solution

The fourth proportional to 268.94, 403.65 and 166.42 is: 249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.94 : 403.65 = 166.42 : x
  2. Step 2: Convert to fraction form
    268.94/403.65 = 166.42/x
  3. Step 3: Cross multiply
    268.94x = 403.65 × 166.42
  4. Step 4: Simplify right side
    268.94x = 67,174.42
  5. Step 5: Solve for x
    x = 67,174.42/268.94
  6. Step 6: Final answer
    x = 249.78

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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.