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Finding the Fourth Proportional to 269.67, 368.94 and 268.52

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Solution

The fourth proportional to 269.67, 368.94 and 268.52 is: 367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.67 : 368.94 = 268.52 : x
  2. Step 2: Convert to fraction form
    269.67/368.94 = 268.52/x
  3. Step 3: Cross multiply
    269.67x = 368.94 × 268.52
  4. Step 4: Simplify right side
    269.67x = 99,065.92
  5. Step 5: Solve for x
    x = 99,065.92/269.67
  6. Step 6: Final answer
    x = 367.36

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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.