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Finding the Fourth Proportional to 634.23, 951.39 and 201.42

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Solution

The fourth proportional to 634.23, 951.39 and 201.42 is: 302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.23 : 951.39 = 201.42 : x
  2. Step 2: Convert to fraction form
    634.23/951.39 = 201.42/x
  3. Step 3: Cross multiply
    634.23x = 951.39 × 201.42
  4. Step 4: Simplify right side
    634.23x = 191,628.97
  5. Step 5: Solve for x
    x = 191,628.97/634.23
  6. Step 6: Final answer
    x = 302.14

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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.