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Finding the Fourth Proportional to 362.38, 543.64 and 118.84

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Solution

The fourth proportional to 362.38, 543.64 and 118.84 is: 178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.38 : 543.64 = 118.84 : x
  2. Step 2: Convert to fraction form
    362.38/543.64 = 118.84/x
  3. Step 3: Cross multiply
    362.38x = 543.64 × 118.84
  4. Step 4: Simplify right side
    362.38x = 64,606.18
  5. Step 5: Solve for x
    x = 64,606.18/362.38
  6. Step 6: Final answer
    x = 178.28

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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.