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Finding the Fourth Proportional to 451, 676.50 and 194.56

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Solution

The fourth proportional to 451, 676.50 and 194.56 is: 291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    451 : 676.50 = 194.56 : x
  2. Step 2: Convert to fraction form
    451/676.50 = 194.56/x
  3. Step 3: Cross multiply
    451x = 676.50 × 194.56
  4. Step 4: Simplify right side
    451x = 131,619.84
  5. Step 5: Solve for x
    x = 131,619.84/451
  6. Step 6: Final answer
    x = 291.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.