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Finding the Fourth Proportional to 256.56, 353.70 and 198.24

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Solution

The fourth proportional to 256.56, 353.70 and 198.24 is: 273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.56 : 353.70 = 198.24 : x
  2. Step 2: Convert to fraction form
    256.56/353.70 = 198.24/x
  3. Step 3: Cross multiply
    256.56x = 353.70 × 198.24
  4. Step 4: Simplify right side
    256.56x = 70,117.49
  5. Step 5: Solve for x
    x = 70,117.49/256.56
  6. Step 6: Final answer
    x = 273.30

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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.