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Finding the Fourth Proportional to 269.42, 404.72 and 161.28

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Solution

The fourth proportional to 269.42, 404.72 and 161.28 is: 242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.42 : 404.72 = 161.28 : x
  2. Step 2: Convert to fraction form
    269.42/404.72 = 161.28/x
  3. Step 3: Cross multiply
    269.42x = 404.72 × 161.28
  4. Step 4: Simplify right side
    269.42x = 65,273.24
  5. Step 5: Solve for x
    x = 65,273.24/269.42
  6. Step 6: Final answer
    x = 242.27

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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.