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Finding the Fourth Proportional to 308.54, 462.90 and 178.40

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Solution

The fourth proportional to 308.54, 462.90 and 178.40 is: 267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.54 : 462.90 = 178.40 : x
  2. Step 2: Convert to fraction form
    308.54/462.90 = 178.40/x
  3. Step 3: Cross multiply
    308.54x = 462.90 × 178.40
  4. Step 4: Simplify right side
    308.54x = 82,581.36
  5. Step 5: Solve for x
    x = 82,581.36/308.54
  6. Step 6: Final answer
    x = 267.65

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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.