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Finding the Fourth Proportional to 183.00, 252.38 and 164.77

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Solution

The fourth proportional to 183.00, 252.38 and 164.77 is: 227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.00 : 252.38 = 164.77 : x
  2. Step 2: Convert to fraction form
    183.00/252.38 = 164.77/x
  3. Step 3: Cross multiply
    183.00x = 252.38 × 164.77
  4. Step 4: Simplify right side
    183.00x = 41,585.85
  5. Step 5: Solve for x
    x = 41,585.85/183.00
  6. Step 6: Final answer
    x = 227.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.