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Finding the Fourth Proportional to 221.45, 332.08 and 84.61

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Solution

The fourth proportional to 221.45, 332.08 and 84.61 is: 126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.45 : 332.08 = 84.61 : x
  2. Step 2: Convert to fraction form
    221.45/332.08 = 84.61/x
  3. Step 3: Cross multiply
    221.45x = 332.08 × 84.61
  4. Step 4: Simplify right side
    221.45x = 28,097.29
  5. Step 5: Solve for x
    x = 28,097.29/221.45
  6. Step 6: Final answer
    x = 126.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.