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Finding the Fourth Proportional to 182.79, 274.46 and 96.39

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Solution

The fourth proportional to 182.79, 274.46 and 96.39 is: 144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.79 : 274.46 = 96.39 : x
  2. Step 2: Convert to fraction form
    182.79/274.46 = 96.39/x
  3. Step 3: Cross multiply
    182.79x = 274.46 × 96.39
  4. Step 4: Simplify right side
    182.79x = 26,454.72
  5. Step 5: Solve for x
    x = 26,454.72/182.79
  6. Step 6: Final answer
    x = 144.73

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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.