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Finding the Fourth Proportional to 308.48, 462.65 and 178.21

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Solution

The fourth proportional to 308.48, 462.65 and 178.21 is: 267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.48 : 462.65 = 178.21 : x
  2. Step 2: Convert to fraction form
    308.48/462.65 = 178.21/x
  3. Step 3: Cross multiply
    308.48x = 462.65 × 178.21
  4. Step 4: Simplify right side
    308.48x = 82,446.99
  5. Step 5: Solve for x
    x = 82,446.99/308.48
  6. Step 6: Final answer
    x = 267.27

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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.