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Finding the Fourth Proportional to 308.17, 461.83 and 178.09

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Solution

The fourth proportional to 308.17, 461.83 and 178.09 is: 266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.17 : 461.83 = 178.09 : x
  2. Step 2: Convert to fraction form
    308.17/461.83 = 178.09/x
  3. Step 3: Cross multiply
    308.17x = 461.83 × 178.09
  4. Step 4: Simplify right side
    308.17x = 82,247.30
  5. Step 5: Solve for x
    x = 82,247.30/308.17
  6. Step 6: Final answer
    x = 266.89

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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.