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Finding the Fourth Proportional to 225.88, 311.64 and 196.72

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Solution

The fourth proportional to 225.88, 311.64 and 196.72 is: 271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.88 : 311.64 = 196.72 : x
  2. Step 2: Convert to fraction form
    225.88/311.64 = 196.72/x
  3. Step 3: Cross multiply
    225.88x = 311.64 × 196.72
  4. Step 4: Simplify right side
    225.88x = 61,305.82
  5. Step 5: Solve for x
    x = 61,305.82/225.88
  6. Step 6: Final answer
    x = 271.41

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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.