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Finding the Fourth Proportional to 184.16, 274.78 and 182.72

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Solution

The fourth proportional to 184.16, 274.78 and 182.72 is: 272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.16 : 274.78 = 182.72 : x
  2. Step 2: Convert to fraction form
    184.16/274.78 = 182.72/x
  3. Step 3: Cross multiply
    184.16x = 274.78 × 182.72
  4. Step 4: Simplify right side
    184.16x = 50,207.80
  5. Step 5: Solve for x
    x = 50,207.80/184.16
  6. Step 6: Final answer
    x = 272.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.