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Finding the Fourth Proportional to 312.56, 431.20 and 196.08

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Solution

The fourth proportional to 312.56, 431.20 and 196.08 is: 270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.56 : 431.20 = 196.08 : x
  2. Step 2: Convert to fraction form
    312.56/431.20 = 196.08/x
  3. Step 3: Cross multiply
    312.56x = 431.20 × 196.08
  4. Step 4: Simplify right side
    312.56x = 84,549.70
  5. Step 5: Solve for x
    x = 84,549.70/312.56
  6. Step 6: Final answer
    x = 270.51

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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.