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Finding the Fourth Proportional to 308.55, 462.08 and 178.14

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Solution

The fourth proportional to 308.55, 462.08 and 178.14 is: 266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.55 : 462.08 = 178.14 : x
  2. Step 2: Convert to fraction form
    308.55/462.08 = 178.14/x
  3. Step 3: Cross multiply
    308.55x = 462.08 × 178.14
  4. Step 4: Simplify right side
    308.55x = 82,314.04
  5. Step 5: Solve for x
    x = 82,314.04/308.55
  6. Step 6: Final answer
    x = 266.78

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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.