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Finding the Fourth Proportional to 183.27, 276.16 and 151.48

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Solution

The fourth proportional to 183.27, 276.16 and 151.48 is: 228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.27 : 276.16 = 151.48 : x
  2. Step 2: Convert to fraction form
    183.27/276.16 = 151.48/x
  3. Step 3: Cross multiply
    183.27x = 276.16 × 151.48
  4. Step 4: Simplify right side
    183.27x = 41,830.58
  5. Step 5: Solve for x
    x = 41,830.58/183.27
  6. Step 6: Final answer
    x = 228.25

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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.