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Finding the Fourth Proportional to 338.14, 506.80 and 155.28

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Solution

The fourth proportional to 338.14, 506.80 and 155.28 is: 232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.14 : 506.80 = 155.28 : x
  2. Step 2: Convert to fraction form
    338.14/506.80 = 155.28/x
  3. Step 3: Cross multiply
    338.14x = 506.80 × 155.28
  4. Step 4: Simplify right side
    338.14x = 78,692.59
  5. Step 5: Solve for x
    x = 78,692.59/338.14
  6. Step 6: Final answer
    x = 232.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.