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Finding the Fourth Proportional to 254.51, 350.96 and 217.79

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Solution

The fourth proportional to 254.51, 350.96 and 217.79 is: 300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.51 : 350.96 = 217.79 : x
  2. Step 2: Convert to fraction form
    254.51/350.96 = 217.79/x
  3. Step 3: Cross multiply
    254.51x = 350.96 × 217.79
  4. Step 4: Simplify right side
    254.51x = 76,432.73
  5. Step 5: Solve for x
    x = 76,432.73/254.51
  6. Step 6: Final answer
    x = 300.32

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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.