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Finding the Fourth Proportional to 183.99, 253.82 and 120.95

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Solution

The fourth proportional to 183.99, 253.82 and 120.95 is: 166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.99 : 253.82 = 120.95 : x
  2. Step 2: Convert to fraction form
    183.99/253.82 = 120.95/x
  3. Step 3: Cross multiply
    183.99x = 253.82 × 120.95
  4. Step 4: Simplify right side
    183.99x = 30,699.51
  5. Step 5: Solve for x
    x = 30,699.51/183.99
  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.