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Finding the Fourth Proportional to 256.70, 353.76 and 212.29

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Solution

The fourth proportional to 256.70, 353.76 and 212.29 is: 292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.70 : 353.76 = 212.29 : x
  2. Step 2: Convert to fraction form
    256.70/353.76 = 212.29/x
  3. Step 3: Cross multiply
    256.70x = 353.76 × 212.29
  4. Step 4: Simplify right side
    256.70x = 75,099.71
  5. Step 5: Solve for x
    x = 75,099.71/256.70
  6. Step 6: Final answer
    x = 292.56

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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.