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Finding the Fourth Proportional to 268.78, 402.94 and 165.73

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Solution

The fourth proportional to 268.78, 402.94 and 165.73 is: 248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.78 : 402.94 = 165.73 : x
  2. Step 2: Convert to fraction form
    268.78/402.94 = 165.73/x
  3. Step 3: Cross multiply
    268.78x = 402.94 × 165.73
  4. Step 4: Simplify right side
    268.78x = 66,779.25
  5. Step 5: Solve for x
    x = 66,779.25/268.78
  6. Step 6: Final answer
    x = 248.45

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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.