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Finding the Fourth Proportional to 183.38, 252.98 and 120.34

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Solution

The fourth proportional to 183.38, 252.98 and 120.34 is: 166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.38 : 252.98 = 120.34 : x
  2. Step 2: Convert to fraction form
    183.38/252.98 = 120.34/x
  3. Step 3: Cross multiply
    183.38x = 252.98 × 120.34
  4. Step 4: Simplify right side
    183.38x = 30,442.36
  5. Step 5: Solve for x
    x = 30,442.36/183.38
  6. Step 6: Final answer
    x = 166.01

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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.