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Finding the Fourth Proportional to 362.05, 543.08 and 118.60

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Solution

The fourth proportional to 362.05, 543.08 and 118.60 is: 177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.05 : 543.08 = 118.60 : x
  2. Step 2: Convert to fraction form
    362.05/543.08 = 118.60/x
  3. Step 3: Cross multiply
    362.05x = 543.08 × 118.60
  4. Step 4: Simplify right side
    362.05x = 64,408.23
  5. Step 5: Solve for x
    x = 64,408.23/362.05
  6. Step 6: Final answer
    x = 177.90

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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.