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Finding the Fourth Proportional to 183.69, 253.49 and 110.04

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Solution

The fourth proportional to 183.69, 253.49 and 110.04 is: 151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.69 : 253.49 = 110.04 : x
  2. Step 2: Convert to fraction form
    183.69/253.49 = 110.04/x
  3. Step 3: Cross multiply
    183.69x = 253.49 × 110.04
  4. Step 4: Simplify right side
    183.69x = 27,893.49
  5. Step 5: Solve for x
    x = 27,893.49/183.69
  6. Step 6: Final answer
    x = 151.85

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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.