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Finding the Fourth Proportional to 269.18, 371.18 and 190.46

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Solution

The fourth proportional to 269.18, 371.18 and 190.46 is: 262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.18 : 371.18 = 190.46 : x
  2. Step 2: Convert to fraction form
    269.18/371.18 = 190.46/x
  3. Step 3: Cross multiply
    269.18x = 371.18 × 190.46
  4. Step 4: Simplify right side
    269.18x = 70,696.35
  5. Step 5: Solve for x
    x = 70,696.35/269.18
  6. Step 6: Final answer
    x = 262.64

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Why These Related Problems?

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