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Finding the Fourth Proportional to 362.22, 543.41 and 118.75

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Solution

The fourth proportional to 362.22, 543.41 and 118.75 is: 178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.22 : 543.41 = 118.75 : x
  2. Step 2: Convert to fraction form
    362.22/543.41 = 118.75/x
  3. Step 3: Cross multiply
    362.22x = 543.41 × 118.75
  4. Step 4: Simplify right side
    362.22x = 64,529.94
  5. Step 5: Solve for x
    x = 64,529.94/362.22
  6. Step 6: Final answer
    x = 178.15

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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.