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Finding the Fourth Proportional to 308.39, 461.88 and 178.11

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Solution

The fourth proportional to 308.39, 461.88 and 178.11 is: 266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.39 : 461.88 = 178.11 : x
  2. Step 2: Convert to fraction form
    308.39/461.88 = 178.11/x
  3. Step 3: Cross multiply
    308.39x = 461.88 × 178.11
  4. Step 4: Simplify right side
    308.39x = 82,265.45
  5. Step 5: Solve for x
    x = 82,265.45/308.39
  6. Step 6: Final answer
    x = 266.76

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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.