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Finding the Fourth Proportional to 184.59, 276.46 and 103.24

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Solution

The fourth proportional to 184.59, 276.46 and 103.24 is: 154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.59 : 276.46 = 103.24 : x
  2. Step 2: Convert to fraction form
    184.59/276.46 = 103.24/x
  3. Step 3: Cross multiply
    184.59x = 276.46 × 103.24
  4. Step 4: Simplify right side
    184.59x = 28,541.73
  5. Step 5: Solve for x
    x = 28,541.73/184.59
  6. Step 6: Final answer
    x = 154.62

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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.