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Finding the Fourth Proportional to 183.23, 274.93 and 67.77

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Solution

The fourth proportional to 183.23, 274.93 and 67.77 is: 101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.23 : 274.93 = 67.77 : x
  2. Step 2: Convert to fraction form
    183.23/274.93 = 67.77/x
  3. Step 3: Cross multiply
    183.23x = 274.93 × 67.77
  4. Step 4: Simplify right side
    183.23x = 18,631.84
  5. Step 5: Solve for x
    x = 18,631.84/183.23
  6. Step 6: Final answer
    x = 101.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.