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Finding the Fourth Proportional to 183.52, 251.93 and 164.62

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Solution

The fourth proportional to 183.52, 251.93 and 164.62 is: 225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.52 : 251.93 = 164.62 : x
  2. Step 2: Convert to fraction form
    183.52/251.93 = 164.62/x
  3. Step 3: Cross multiply
    183.52x = 251.93 × 164.62
  4. Step 4: Simplify right side
    183.52x = 41,472.72
  5. Step 5: Solve for x
    x = 41,472.72/183.52
  6. Step 6: Final answer
    x = 225.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.