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Finding the Fourth Proportional to 225.78, 311.34 and 194.78

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Solution

The fourth proportional to 225.78, 311.34 and 194.78 is: 268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.78 : 311.34 = 194.78 : x
  2. Step 2: Convert to fraction form
    225.78/311.34 = 194.78/x
  3. Step 3: Cross multiply
    225.78x = 311.34 × 194.78
  4. Step 4: Simplify right side
    225.78x = 60,642.81
  5. Step 5: Solve for x
    x = 60,642.81/225.78
  6. Step 6: Final answer
    x = 268.59

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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.