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Finding the Fourth Proportional to 256.56, 353.44 and 212.12

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Solution

The fourth proportional to 256.56, 353.44 and 212.12 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.56 : 353.44 = 212.12 : x
  2. Step 2: Convert to fraction form
    256.56/353.44 = 212.12/x
  3. Step 3: Cross multiply
    256.56x = 353.44 × 212.12
  4. Step 4: Simplify right side
    256.56x = 74,969.40
  5. Step 5: Solve for x
    x = 74,969.40/256.56
  6. Step 6: Final answer
    x = 292.21

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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.