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Finding the Fourth Proportional to 308.12, 461.94 and 137.24

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Solution

The fourth proportional to 308.12, 461.94 and 137.24 is: 205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.12 : 461.94 = 137.24 : x
  2. Step 2: Convert to fraction form
    308.12/461.94 = 137.24/x
  3. Step 3: Cross multiply
    308.12x = 461.94 × 137.24
  4. Step 4: Simplify right side
    308.12x = 63,396.65
  5. Step 5: Solve for x
    x = 63,396.65/308.12
  6. Step 6: Final answer
    x = 205.75

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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.