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Finding the Fourth Proportional to 256.49, 353.96 and 145.95

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Solution

The fourth proportional to 256.49, 353.96 and 145.95 is: 201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.49 : 353.96 = 145.95 : x
  2. Step 2: Convert to fraction form
    256.49/353.96 = 145.95/x
  3. Step 3: Cross multiply
    256.49x = 353.96 × 145.95
  4. Step 4: Simplify right side
    256.49x = 51,659.73
  5. Step 5: Solve for x
    x = 51,659.73/256.49
  6. Step 6: Final answer
    x = 201.41

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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.