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Finding the Fourth Proportional to 221.59, 331.84 and 170.02

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Solution

The fourth proportional to 221.59, 331.84 and 170.02 is: 254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.59 : 331.84 = 170.02 : x
  2. Step 2: Convert to fraction form
    221.59/331.84 = 170.02/x
  3. Step 3: Cross multiply
    221.59x = 331.84 × 170.02
  4. Step 4: Simplify right side
    221.59x = 56,419.44
  5. Step 5: Solve for x
    x = 56,419.44/221.59
  6. Step 6: Final answer
    x = 254.61

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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.