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Finding the Fourth Proportional to 196.51, 293.36 and 182.85

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Solution

The fourth proportional to 196.51, 293.36 and 182.85 is: 272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.51 : 293.36 = 182.85 : x
  2. Step 2: Convert to fraction form
    196.51/293.36 = 182.85/x
  3. Step 3: Cross multiply
    196.51x = 293.36 × 182.85
  4. Step 4: Simplify right side
    196.51x = 53,640.88
  5. Step 5: Solve for x
    x = 53,640.88/196.51
  6. Step 6: Final answer
    x = 272.97

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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.