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Finding the Fourth Proportional to 254.43, 350.06 and 232.83

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Solution

The fourth proportional to 254.43, 350.06 and 232.83 is: 320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.43 : 350.06 = 232.83 : x
  2. Step 2: Convert to fraction form
    254.43/350.06 = 232.83/x
  3. Step 3: Cross multiply
    254.43x = 350.06 × 232.83
  4. Step 4: Simplify right side
    254.43x = 81,503.31
  5. Step 5: Solve for x
    x = 81,503.31/254.43
  6. Step 6: Final answer
    x = 320.34

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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.