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Finding the Fourth Proportional to 269.67, 405.09 and 161.52

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Solution

The fourth proportional to 269.67, 405.09 and 161.52 is: 242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.67 : 405.09 = 161.52 : x
  2. Step 2: Convert to fraction form
    269.67/405.09 = 161.52/x
  3. Step 3: Cross multiply
    269.67x = 405.09 × 161.52
  4. Step 4: Simplify right side
    269.67x = 65,430.14
  5. Step 5: Solve for x
    x = 65,430.14/269.67
  6. Step 6: Final answer
    x = 242.63

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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.