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Finding the Fourth Proportional to 431.96, 648.04 and 123.82

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Solution

The fourth proportional to 431.96, 648.04 and 123.82 is: 185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.96 : 648.04 = 123.82 : x
  2. Step 2: Convert to fraction form
    431.96/648.04 = 123.82/x
  3. Step 3: Cross multiply
    431.96x = 648.04 × 123.82
  4. Step 4: Simplify right side
    431.96x = 80,240.31
  5. Step 5: Solve for x
    x = 80,240.31/431.96
  6. Step 6: Final answer
    x = 185.76

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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.