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Finding the Fourth Proportional to 183.03, 252.45 and 164.40

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Solution

The fourth proportional to 183.03, 252.45 and 164.40 is: 226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.03 : 252.45 = 164.40 : x
  2. Step 2: Convert to fraction form
    183.03/252.45 = 164.40/x
  3. Step 3: Cross multiply
    183.03x = 252.45 × 164.40
  4. Step 4: Simplify right side
    183.03x = 41,502.78
  5. Step 5: Solve for x
    x = 41,502.78/183.03
  6. Step 6: Final answer
    x = 226.75

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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.