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Finding the Fourth Proportional to 634.12, 951.10 and 223.27

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Solution

The fourth proportional to 634.12, 951.10 and 223.27 is: 334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.12 : 951.10 = 223.27 : x
  2. Step 2: Convert to fraction form
    634.12/951.10 = 223.27/x
  3. Step 3: Cross multiply
    634.12x = 951.10 × 223.27
  4. Step 4: Simplify right side
    634.12x = 212,349.16
  5. Step 5: Solve for x
    x = 212,349.16/634.12
  6. Step 6: Final answer
    x = 334.87

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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.