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Finding the Fourth Proportional to 254.89, 382.37 and 72.28

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Solution

The fourth proportional to 254.89, 382.37 and 72.28 is: 108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.89 : 382.37 = 72.28 : x
  2. Step 2: Convert to fraction form
    254.89/382.37 = 72.28/x
  3. Step 3: Cross multiply
    254.89x = 382.37 × 72.28
  4. Step 4: Simplify right side
    254.89x = 27,637.70
  5. Step 5: Solve for x
    x = 27,637.70/254.89
  6. Step 6: Final answer
    x = 108.43

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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.