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Finding the Fourth Proportional to 308.23, 462.69 and 178.38

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Solution

The fourth proportional to 308.23, 462.69 and 178.38 is: 267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.23 : 462.69 = 178.38 : x
  2. Step 2: Convert to fraction form
    308.23/462.69 = 178.38/x
  3. Step 3: Cross multiply
    308.23x = 462.69 × 178.38
  4. Step 4: Simplify right side
    308.23x = 82,532.84
  5. Step 5: Solve for x
    x = 82,532.84/308.23
  6. Step 6: Final answer
    x = 267.76

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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.