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Finding the Fourth Proportional to 180.38, 268.99 and 160.71

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Solution

The fourth proportional to 180.38, 268.99 and 160.71 is: 239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 268.99 = 160.71 : x
  2. Step 2: Convert to fraction form
    180.38/268.99 = 160.71/x
  3. Step 3: Cross multiply
    180.38x = 268.99 × 160.71
  4. Step 4: Simplify right side
    180.38x = 43,229.38
  5. Step 5: Solve for x
    x = 43,229.38/180.38
  6. Step 6: Final answer
    x = 239.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.