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Finding the Fourth Proportional to 237.25, 355.82 and 115.49

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Solution

The fourth proportional to 237.25, 355.82 and 115.49 is: 173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.25 : 355.82 = 115.49 : x
  2. Step 2: Convert to fraction form
    237.25/355.82 = 115.49/x
  3. Step 3: Cross multiply
    237.25x = 355.82 × 115.49
  4. Step 4: Simplify right side
    237.25x = 41,093.65
  5. Step 5: Solve for x
    x = 41,093.65/237.25
  6. Step 6: Final answer
    x = 173.21

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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.