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Finding the Fourth Proportional to 221.63, 305.80 and 162.64

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Solution

The fourth proportional to 221.63, 305.80 and 162.64 is: 224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.63 : 305.80 = 162.64 : x
  2. Step 2: Convert to fraction form
    221.63/305.80 = 162.64/x
  3. Step 3: Cross multiply
    221.63x = 305.80 × 162.64
  4. Step 4: Simplify right side
    221.63x = 49,735.31
  5. Step 5: Solve for x
    x = 49,735.31/221.63
  6. Step 6: Final answer
    x = 224.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.