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Finding the Fourth Proportional to 183.94, 253.82 and 110.22

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Solution

The fourth proportional to 183.94, 253.82 and 110.22 is: 152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.94 : 253.82 = 110.22 : x
  2. Step 2: Convert to fraction form
    183.94/253.82 = 110.22/x
  3. Step 3: Cross multiply
    183.94x = 253.82 × 110.22
  4. Step 4: Simplify right side
    183.94x = 27,974.77
  5. Step 5: Solve for x
    x = 27,974.77/183.94
  6. Step 6: Final answer
    x = 152.09

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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.