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Finding the Fourth Proportional to 233.26, 350.16 and 179.56

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Solution

The fourth proportional to 233.26, 350.16 and 179.56 is: 269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.26 : 350.16 = 179.56 : x
  2. Step 2: Convert to fraction form
    233.26/350.16 = 179.56/x
  3. Step 3: Cross multiply
    233.26x = 350.16 × 179.56
  4. Step 4: Simplify right side
    233.26x = 62,874.73
  5. Step 5: Solve for x
    x = 62,874.73/233.26
  6. Step 6: Final answer
    x = 269.55

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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.