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Finding the Fourth Proportional to 183.90, 253.69 and 120.97

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Solution

The fourth proportional to 183.90, 253.69 and 120.97 is: 166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.90 : 253.69 = 120.97 : x
  2. Step 2: Convert to fraction form
    183.90/253.69 = 120.97/x
  3. Step 3: Cross multiply
    183.90x = 253.69 × 120.97
  4. Step 4: Simplify right side
    183.90x = 30,688.88
  5. Step 5: Solve for x
    x = 30,688.88/183.90
  6. Step 6: Final answer
    x = 166.88

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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.