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Finding the Fourth Proportional to 224.20, 336.04 and 79.84

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Solution

The fourth proportional to 224.20, 336.04 and 79.84 is: 119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.20 : 336.04 = 79.84 : x
  2. Step 2: Convert to fraction form
    224.20/336.04 = 79.84/x
  3. Step 3: Cross multiply
    224.20x = 336.04 × 79.84
  4. Step 4: Simplify right side
    224.20x = 26,829.43
  5. Step 5: Solve for x
    x = 26,829.43/224.20
  6. Step 6: Final answer
    x = 119.67

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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.