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Finding the Fourth Proportional to 269.25, 369.28 and 266.07

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Solution

The fourth proportional to 269.25, 369.28 and 266.07 is: 364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.25 : 369.28 = 266.07 : x
  2. Step 2: Convert to fraction form
    269.25/369.28 = 266.07/x
  3. Step 3: Cross multiply
    269.25x = 369.28 × 266.07
  4. Step 4: Simplify right side
    269.25x = 98,254.33
  5. Step 5: Solve for x
    x = 98,254.33/269.25
  6. Step 6: Final answer
    x = 364.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.