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Finding the Fourth Proportional to 269.24, 402.95 and 181.27

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Solution

The fourth proportional to 269.24, 402.95 and 181.27 is: 271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.24 : 402.95 = 181.27 : x
  2. Step 2: Convert to fraction form
    269.24/402.95 = 181.27/x
  3. Step 3: Cross multiply
    269.24x = 402.95 × 181.27
  4. Step 4: Simplify right side
    269.24x = 73,043.70
  5. Step 5: Solve for x
    x = 73,043.70/269.24
  6. Step 6: Final answer
    x = 271.30

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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.