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Finding the Fourth Proportional to 183.59, 276.54 and 164.54

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Solution

The fourth proportional to 183.59, 276.54 and 164.54 is: 247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.59 : 276.54 = 164.54 : x
  2. Step 2: Convert to fraction form
    183.59/276.54 = 164.54/x
  3. Step 3: Cross multiply
    183.59x = 276.54 × 164.54
  4. Step 4: Simplify right side
    183.59x = 45,500.55
  5. Step 5: Solve for x
    x = 45,500.55/183.59
  6. Step 6: Final answer
    x = 247.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.