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Finding the Fourth Proportional to 308.28, 461.76 and 178.08

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Solution

The fourth proportional to 308.28, 461.76 and 178.08 is: 266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.28 : 461.76 = 178.08 : x
  2. Step 2: Convert to fraction form
    308.28/461.76 = 178.08/x
  3. Step 3: Cross multiply
    308.28x = 461.76 × 178.08
  4. Step 4: Simplify right side
    308.28x = 82,230.22
  5. Step 5: Solve for x
    x = 82,230.22/308.28
  6. Step 6: Final answer
    x = 266.74

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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.