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Finding the Fourth Proportional to 254.36, 382.81 and 229.20

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Solution

The fourth proportional to 254.36, 382.81 and 229.20 is: 344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.36 : 382.81 = 229.20 : x
  2. Step 2: Convert to fraction form
    254.36/382.81 = 229.20/x
  3. Step 3: Cross multiply
    254.36x = 382.81 × 229.20
  4. Step 4: Simplify right side
    254.36x = 87,738.47
  5. Step 5: Solve for x
    x = 87,738.47/254.36
  6. Step 6: Final answer
    x = 344.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.