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Finding the Fourth Proportional to 204.96, 308.10 and 164.82

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Solution

The fourth proportional to 204.96, 308.10 and 164.82 is: 247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.96 : 308.10 = 164.82 : x
  2. Step 2: Convert to fraction form
    204.96/308.10 = 164.82/x
  3. Step 3: Cross multiply
    204.96x = 308.10 × 164.82
  4. Step 4: Simplify right side
    204.96x = 50,781.04
  5. Step 5: Solve for x
    x = 50,781.04/204.96
  6. Step 6: Final answer
    x = 247.76

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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.