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Finding the Fourth Proportional to 254.90, 352.17 and 235.46

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Solution

The fourth proportional to 254.90, 352.17 and 235.46 is: 325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.90 : 352.17 = 235.46 : x
  2. Step 2: Convert to fraction form
    254.90/352.17 = 235.46/x
  3. Step 3: Cross multiply
    254.90x = 352.17 × 235.46
  4. Step 4: Simplify right side
    254.90x = 82,921.95
  5. Step 5: Solve for x
    x = 82,921.95/254.90
  6. Step 6: Final answer
    x = 325.31

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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.