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Finding the Fourth Proportional to 308.56, 462.08 and 178.24

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Solution

The fourth proportional to 308.56, 462.08 and 178.24 is: 266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.56 : 462.08 = 178.24 : x
  2. Step 2: Convert to fraction form
    308.56/462.08 = 178.24/x
  3. Step 3: Cross multiply
    308.56x = 462.08 × 178.24
  4. Step 4: Simplify right side
    308.56x = 82,361.14
  5. Step 5: Solve for x
    x = 82,361.14/308.56
  6. Step 6: Final answer
    x = 266.92

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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.