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Finding the Fourth Proportional to 233.57, 350.41 and 111.77

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Solution

The fourth proportional to 233.57, 350.41 and 111.77 is: 167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.57 : 350.41 = 111.77 : x
  2. Step 2: Convert to fraction form
    233.57/350.41 = 111.77/x
  3. Step 3: Cross multiply
    233.57x = 350.41 × 111.77
  4. Step 4: Simplify right side
    233.57x = 39,165.92
  5. Step 5: Solve for x
    x = 39,165.92/233.57
  6. Step 6: Final answer
    x = 167.68

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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.