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Finding the Fourth Proportional to 254.09, 382.52 and 232.56

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Solution

The fourth proportional to 254.09, 382.52 and 232.56 is: 350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.09 : 382.52 = 232.56 : x
  2. Step 2: Convert to fraction form
    254.09/382.52 = 232.56/x
  3. Step 3: Cross multiply
    254.09x = 382.52 × 232.56
  4. Step 4: Simplify right side
    254.09x = 88,957.69
  5. Step 5: Solve for x
    x = 88,957.69/254.09
  6. Step 6: Final answer
    x = 350.11

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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.