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Finding the Fourth Proportional to 180.15, 269.70 and 111.47

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Solution

The fourth proportional to 180.15, 269.70 and 111.47 is: 166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.15 : 269.70 = 111.47 : x
  2. Step 2: Convert to fraction form
    180.15/269.70 = 111.47/x
  3. Step 3: Cross multiply
    180.15x = 269.70 × 111.47
  4. Step 4: Simplify right side
    180.15x = 30,062.11
  5. Step 5: Solve for x
    x = 30,062.11/180.15
  6. Step 6: Final answer
    x = 166.87

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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.