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Finding the Fourth Proportional to 362.64, 543.78 and 180.12

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Solution

The fourth proportional to 362.64, 543.78 and 180.12 is: 270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.64 : 543.78 = 180.12 : x
  2. Step 2: Convert to fraction form
    362.64/543.78 = 180.12/x
  3. Step 3: Cross multiply
    362.64x = 543.78 × 180.12
  4. Step 4: Simplify right side
    362.64x = 97,945.65
  5. Step 5: Solve for x
    x = 97,945.65/362.64
  6. Step 6: Final answer
    x = 270.09

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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.