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Finding the Fourth Proportional to 338.04, 506.75 and 155.25

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Solution

The fourth proportional to 338.04, 506.75 and 155.25 is: 232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.04 : 506.75 = 155.25 : x
  2. Step 2: Convert to fraction form
    338.04/506.75 = 155.25/x
  3. Step 3: Cross multiply
    338.04x = 506.75 × 155.25
  4. Step 4: Simplify right side
    338.04x = 78,672.16
  5. Step 5: Solve for x
    x = 78,672.16/338.04
  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.