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Finding the Fourth Proportional to 180.23, 269.19 and 159.98

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Solution

The fourth proportional to 180.23, 269.19 and 159.98 is: 238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.23 : 269.19 = 159.98 : x
  2. Step 2: Convert to fraction form
    180.23/269.19 = 159.98/x
  3. Step 3: Cross multiply
    180.23x = 269.19 × 159.98
  4. Step 4: Simplify right side
    180.23x = 43,063.67
  5. Step 5: Solve for x
    x = 43,063.67/180.23
  6. Step 6: Final answer
    x = 238.94

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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.