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Finding the Fourth Proportional to 221.46, 332.06 and 110.28

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Solution

The fourth proportional to 221.46, 332.06 and 110.28 is: 165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.46 : 332.06 = 110.28 : x
  2. Step 2: Convert to fraction form
    221.46/332.06 = 110.28/x
  3. Step 3: Cross multiply
    221.46x = 332.06 × 110.28
  4. Step 4: Simplify right side
    221.46x = 36,619.58
  5. Step 5: Solve for x
    x = 36,619.58/221.46
  6. Step 6: Final answer
    x = 165.36

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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.