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Finding the Fourth Proportional to 221.21, 332.42 and 208.63

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Solution

The fourth proportional to 221.21, 332.42 and 208.63 is: 313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.21 : 332.42 = 208.63 : x
  2. Step 2: Convert to fraction form
    221.21/332.42 = 208.63/x
  3. Step 3: Cross multiply
    221.21x = 332.42 × 208.63
  4. Step 4: Simplify right side
    221.21x = 69,350.91
  5. Step 5: Solve for x
    x = 69,350.91/221.21
  6. Step 6: Final answer
    x = 313.50

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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.