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Finding the Fourth Proportional to 183.17, 252.77 and 109.49

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Solution

The fourth proportional to 183.17, 252.77 and 109.49 is: 151.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.17 : 252.77 = 109.49 : x
  2. Step 2: Convert to fraction form
    183.17/252.77 = 109.49/x
  3. Step 3: Cross multiply
    183.17x = 252.77 × 109.49
  4. Step 4: Simplify right side
    183.17x = 27,674.59
  5. Step 5: Solve for x
    x = 27,674.59/183.17
  6. Step 6: Final answer
    x = 151.09

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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.