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Finding the Fourth Proportional to 183.16, 252.59 and 164.94

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Solution

The fourth proportional to 183.16, 252.59 and 164.94 is: 227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.16 : 252.59 = 164.94 : x
  2. Step 2: Convert to fraction form
    183.16/252.59 = 164.94/x
  3. Step 3: Cross multiply
    183.16x = 252.59 × 164.94
  4. Step 4: Simplify right side
    183.16x = 41,660.93
  5. Step 5: Solve for x
    x = 41,660.93/183.16
  6. Step 6: Final answer
    x = 227.46

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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.