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Finding the Fourth Proportional to 451.68, 677.76 and 194.88

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Solution

The fourth proportional to 451.68, 677.76 and 194.88 is: 292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.68 : 677.76 = 194.88 : x
  2. Step 2: Convert to fraction form
    451.68/677.76 = 194.88/x
  3. Step 3: Cross multiply
    451.68x = 677.76 × 194.88
  4. Step 4: Simplify right side
    451.68x = 132,081.87
  5. Step 5: Solve for x
    x = 132,081.87/451.68
  6. Step 6: Final answer
    x = 292.42

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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.