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Finding the Fourth Proportional to 183.77, 274.84 and 106.53

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Solution

The fourth proportional to 183.77, 274.84 and 106.53 is: 159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.77 : 274.84 = 106.53 : x
  2. Step 2: Convert to fraction form
    183.77/274.84 = 106.53/x
  3. Step 3: Cross multiply
    183.77x = 274.84 × 106.53
  4. Step 4: Simplify right side
    183.77x = 29,279.55
  5. Step 5: Solve for x
    x = 29,279.55/183.77
  6. Step 6: Final answer
    x = 159.33

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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.