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Finding the Fourth Proportional to 216.26, 323.67 and 155.51

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Solution

The fourth proportional to 216.26, 323.67 and 155.51 is: 232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.26 : 323.67 = 155.51 : x
  2. Step 2: Convert to fraction form
    216.26/323.67 = 155.51/x
  3. Step 3: Cross multiply
    216.26x = 323.67 × 155.51
  4. Step 4: Simplify right side
    216.26x = 50,333.92
  5. Step 5: Solve for x
    x = 50,333.92/216.26
  6. Step 6: Final answer
    x = 232.75

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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.