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Finding the Fourth Proportional to 184.67, 276.54 and 151.96

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Solution

The fourth proportional to 184.67, 276.54 and 151.96 is: 227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.67 : 276.54 = 151.96 : x
  2. Step 2: Convert to fraction form
    184.67/276.54 = 151.96/x
  3. Step 3: Cross multiply
    184.67x = 276.54 × 151.96
  4. Step 4: Simplify right side
    184.67x = 42,023.02
  5. Step 5: Solve for x
    x = 42,023.02/184.67
  6. Step 6: Final answer
    x = 227.56

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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.