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Finding the Fourth Proportional to 183.08, 252.51 and 120.98

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Solution

The fourth proportional to 183.08, 252.51 and 120.98 is: 166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.08 : 252.51 = 120.98 : x
  2. Step 2: Convert to fraction form
    183.08/252.51 = 120.98/x
  3. Step 3: Cross multiply
    183.08x = 252.51 × 120.98
  4. Step 4: Simplify right side
    183.08x = 30,548.66
  5. Step 5: Solve for x
    x = 30,548.66/183.08
  6. Step 6: Final answer
    x = 166.86

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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.