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Finding the Fourth Proportional to 269.24, 371.68 and 190.94

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Solution

The fourth proportional to 269.24, 371.68 and 190.94 is: 263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.24 : 371.68 = 190.94 : x
  2. Step 2: Convert to fraction form
    269.24/371.68 = 190.94/x
  3. Step 3: Cross multiply
    269.24x = 371.68 × 190.94
  4. Step 4: Simplify right side
    269.24x = 70,966.24
  5. Step 5: Solve for x
    x = 70,966.24/269.24
  6. Step 6: Final answer
    x = 263.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.