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Finding the Fourth Proportional to 233.91, 351.07 and 112.23

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Solution

The fourth proportional to 233.91, 351.07 and 112.23 is: 168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.91 : 351.07 = 112.23 : x
  2. Step 2: Convert to fraction form
    233.91/351.07 = 112.23/x
  3. Step 3: Cross multiply
    233.91x = 351.07 × 112.23
  4. Step 4: Simplify right side
    233.91x = 39,400.31
  5. Step 5: Solve for x
    x = 39,400.31/233.91
  6. Step 6: Final answer
    x = 168.44

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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.