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Finding the Fourth Proportional to 224.80, 336.40 and 205.60

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Solution

The fourth proportional to 224.80, 336.40 and 205.60 is: 307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.80 : 336.40 = 205.60 : x
  2. Step 2: Convert to fraction form
    224.80/336.40 = 205.60/x
  3. Step 3: Cross multiply
    224.80x = 336.40 × 205.60
  4. Step 4: Simplify right side
    224.80x = 69,163.84
  5. Step 5: Solve for x
    x = 69,163.84/224.80
  6. Step 6: Final answer
    x = 307.67

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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.