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Finding the Fourth Proportional to 256.55, 351.92 and 254.36

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Solution

The fourth proportional to 256.55, 351.92 and 254.36 is: 348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.55 : 351.92 = 254.36 : x
  2. Step 2: Convert to fraction form
    256.55/351.92 = 254.36/x
  3. Step 3: Cross multiply
    256.55x = 351.92 × 254.36
  4. Step 4: Simplify right side
    256.55x = 89,511.34
  5. Step 5: Solve for x
    x = 89,511.34/256.55
  6. Step 6: Final answer
    x = 348.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.