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Finding the Fourth Proportional to 269.03, 371.18 and 158.46

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Solution

The fourth proportional to 269.03, 371.18 and 158.46 is: 218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.03 : 371.18 = 158.46 : x
  2. Step 2: Convert to fraction form
    269.03/371.18 = 158.46/x
  3. Step 3: Cross multiply
    269.03x = 371.18 × 158.46
  4. Step 4: Simplify right side
    269.03x = 58,816.39
  5. Step 5: Solve for x
    x = 58,816.39/269.03
  6. Step 6: Final answer
    x = 218.63

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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.