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Finding the Fourth Proportional to 308.46, 461.97 and 180.30

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Solution

The fourth proportional to 308.46, 461.97 and 180.30 is: 270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.46 : 461.97 = 180.30 : x
  2. Step 2: Convert to fraction form
    308.46/461.97 = 180.30/x
  3. Step 3: Cross multiply
    308.46x = 461.97 × 180.30
  4. Step 4: Simplify right side
    308.46x = 83,293.19
  5. Step 5: Solve for x
    x = 83,293.19/308.46
  6. Step 6: Final answer
    x = 270.03

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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.