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Finding the Fourth Proportional to 180.38, 270.05 and 157.82

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Solution

The fourth proportional to 180.38, 270.05 and 157.82 is: 236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 270.05 = 157.82 : x
  2. Step 2: Convert to fraction form
    180.38/270.05 = 157.82/x
  3. Step 3: Cross multiply
    180.38x = 270.05 × 157.82
  4. Step 4: Simplify right side
    180.38x = 42,619.29
  5. Step 5: Solve for x
    x = 42,619.29/180.38
  6. Step 6: Final answer
    x = 236.28

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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.