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Finding the Fourth Proportional to 634.02, 951.20 and 223.16

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Solution

The fourth proportional to 634.02, 951.20 and 223.16 is: 334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.02 : 951.20 = 223.16 : x
  2. Step 2: Convert to fraction form
    634.02/951.20 = 223.16/x
  3. Step 3: Cross multiply
    634.02x = 951.20 × 223.16
  4. Step 4: Simplify right side
    634.02x = 212,263.92
  5. Step 5: Solve for x
    x = 212,263.92/634.02
  6. Step 6: Final answer
    x = 334.79

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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.