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Finding the Fourth Proportional to 308.02, 462.44 and 178.14

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Solution

The fourth proportional to 308.02, 462.44 and 178.14 is: 267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.02 : 462.44 = 178.14 : x
  2. Step 2: Convert to fraction form
    308.02/462.44 = 178.14/x
  3. Step 3: Cross multiply
    308.02x = 462.44 × 178.14
  4. Step 4: Simplify right side
    308.02x = 82,379.06
  5. Step 5: Solve for x
    x = 82,379.06/308.02
  6. Step 6: Final answer
    x = 267.45

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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.