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Finding the Fourth Proportional to 308.82, 462.54 and 164.23

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Solution

The fourth proportional to 308.82, 462.54 and 164.23 is: 245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.82 : 462.54 = 164.23 : x
  2. Step 2: Convert to fraction form
    308.82/462.54 = 164.23/x
  3. Step 3: Cross multiply
    308.82x = 462.54 × 164.23
  4. Step 4: Simplify right side
    308.82x = 75,962.94
  5. Step 5: Solve for x
    x = 75,962.94/308.82
  6. Step 6: Final answer
    x = 245.98

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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.