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Finding the Fourth Proportional to 634.10, 950.96 and 201.24

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Solution

The fourth proportional to 634.10, 950.96 and 201.24 is: 301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.10 : 950.96 = 201.24 : x
  2. Step 2: Convert to fraction form
    634.10/950.96 = 201.24/x
  3. Step 3: Cross multiply
    634.10x = 950.96 × 201.24
  4. Step 4: Simplify right side
    634.10x = 191,371.69
  5. Step 5: Solve for x
    x = 191,371.69/634.10
  6. Step 6: Final answer
    x = 301.80

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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.