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Finding the Fourth Proportional to 180.89, 269.81 and 151.66

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Solution

The fourth proportional to 180.89, 269.81 and 151.66 is: 226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.89 : 269.81 = 151.66 : x
  2. Step 2: Convert to fraction form
    180.89/269.81 = 151.66/x
  3. Step 3: Cross multiply
    180.89x = 269.81 × 151.66
  4. Step 4: Simplify right side
    180.89x = 40,919.53
  5. Step 5: Solve for x
    x = 40,919.53/180.89
  6. Step 6: Final answer
    x = 226.21

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Why These Related Problems?

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