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Finding the Fourth Proportional to 454.94, 682.43 and 125.90

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Solution

The fourth proportional to 454.94, 682.43 and 125.90 is: 188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.94 : 682.43 = 125.90 : x
  2. Step 2: Convert to fraction form
    454.94/682.43 = 125.90/x
  3. Step 3: Cross multiply
    454.94x = 682.43 × 125.90
  4. Step 4: Simplify right side
    454.94x = 85,917.94
  5. Step 5: Solve for x
    x = 85,917.94/454.94
  6. Step 6: Final answer
    x = 188.86

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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.