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Finding the Fourth Proportional to 254.92, 382.02 and 158.44

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Solution

The fourth proportional to 254.92, 382.02 and 158.44 is: 237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.92 : 382.02 = 158.44 : x
  2. Step 2: Convert to fraction form
    254.92/382.02 = 158.44/x
  3. Step 3: Cross multiply
    254.92x = 382.02 × 158.44
  4. Step 4: Simplify right side
    254.92x = 60,527.25
  5. Step 5: Solve for x
    x = 60,527.25/254.92
  6. Step 6: Final answer
    x = 237.44

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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.