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Finding the Fourth Proportional to 362.43, 543.96 and 170.07

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Solution

The fourth proportional to 362.43, 543.96 and 170.07 is: 255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.43 : 543.96 = 170.07 : x
  2. Step 2: Convert to fraction form
    362.43/543.96 = 170.07/x
  3. Step 3: Cross multiply
    362.43x = 543.96 × 170.07
  4. Step 4: Simplify right side
    362.43x = 92,511.28
  5. Step 5: Solve for x
    x = 92,511.28/362.43
  6. Step 6: Final answer
    x = 255.25

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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.