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Finding the Fourth Proportional to 180.51, 269.96 and 162.38

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Solution

The fourth proportional to 180.51, 269.96 and 162.38 is: 242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.51 : 269.96 = 162.38 : x
  2. Step 2: Convert to fraction form
    180.51/269.96 = 162.38/x
  3. Step 3: Cross multiply
    180.51x = 269.96 × 162.38
  4. Step 4: Simplify right side
    180.51x = 43,833.94
  5. Step 5: Solve for x
    x = 43,833.94/180.51
  6. Step 6: Final answer
    x = 242.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.