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Finding the Fourth Proportional to 204.96, 308.16 and 168.96

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Solution

The fourth proportional to 204.96, 308.16 and 168.96 is: 254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.96 : 308.16 = 168.96 : x
  2. Step 2: Convert to fraction form
    204.96/308.16 = 168.96/x
  3. Step 3: Cross multiply
    204.96x = 308.16 × 168.96
  4. Step 4: Simplify right side
    204.96x = 52,066.71
  5. Step 5: Solve for x
    x = 52,066.71/204.96
  6. Step 6: Final answer
    x = 254.03

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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.