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Finding the Fourth Proportional to 183.77, 253.26 and 134.56

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Solution

The fourth proportional to 183.77, 253.26 and 134.56 is: 185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.77 : 253.26 = 134.56 : x
  2. Step 2: Convert to fraction form
    183.77/253.26 = 134.56/x
  3. Step 3: Cross multiply
    183.77x = 253.26 × 134.56
  4. Step 4: Simplify right side
    183.77x = 34,078.67
  5. Step 5: Solve for x
    x = 34,078.67/183.77
  6. Step 6: Final answer
    x = 185.44

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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.