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Finding the Fourth Proportional to 183.64, 276.71 and 182.52

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Solution

The fourth proportional to 183.64, 276.71 and 182.52 is: 275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.64 : 276.71 = 182.52 : x
  2. Step 2: Convert to fraction form
    183.64/276.71 = 182.52/x
  3. Step 3: Cross multiply
    183.64x = 276.71 × 182.52
  4. Step 4: Simplify right side
    183.64x = 50,505.11
  5. Step 5: Solve for x
    x = 50,505.11/183.64
  6. Step 6: Final answer
    x = 275.02

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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.