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Finding the Fourth Proportional to 308.78, 462.75 and 178.82

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Solution

The fourth proportional to 308.78, 462.75 and 178.82 is: 267.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.78 : 462.75 = 178.82 : x
  2. Step 2: Convert to fraction form
    308.78/462.75 = 178.82/x
  3. Step 3: Cross multiply
    308.78x = 462.75 × 178.82
  4. Step 4: Simplify right side
    308.78x = 82,748.96
  5. Step 5: Solve for x
    x = 82,748.96/308.78
  6. Step 6: Final answer
    x = 267.99

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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.