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Finding the Fourth Proportional to 308.84, 426.19 and 168.96

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Solution

The fourth proportional to 308.84, 426.19 and 168.96 is: 233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.84 : 426.19 = 168.96 : x
  2. Step 2: Convert to fraction form
    308.84/426.19 = 168.96/x
  3. Step 3: Cross multiply
    308.84x = 426.19 × 168.96
  4. Step 4: Simplify right side
    308.84x = 72,009.95
  5. Step 5: Solve for x
    x = 72,009.95/308.84
  6. Step 6: Final answer
    x = 233.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.