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Finding the Fourth Proportional to 187.20, 280.92 and 178.32

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Solution

The fourth proportional to 187.20, 280.92 and 178.32 is: 267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.20 : 280.92 = 178.32 : x
  2. Step 2: Convert to fraction form
    187.20/280.92 = 178.32/x
  3. Step 3: Cross multiply
    187.20x = 280.92 × 178.32
  4. Step 4: Simplify right side
    187.20x = 50,093.65
  5. Step 5: Solve for x
    x = 50,093.65/187.20
  6. Step 6: Final answer
    x = 267.59

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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.