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Finding the Fourth Proportional to 269.06, 402.80 and 166.03

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Solution

The fourth proportional to 269.06, 402.80 and 166.03 is: 248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.06 : 402.80 = 166.03 : x
  2. Step 2: Convert to fraction form
    269.06/402.80 = 166.03/x
  3. Step 3: Cross multiply
    269.06x = 402.80 × 166.03
  4. Step 4: Simplify right side
    269.06x = 66,876.88
  5. Step 5: Solve for x
    x = 66,876.88/269.06
  6. Step 6: Final answer
    x = 248.56

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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.