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Finding the Fourth Proportional to 196.30, 293.02 and 182.02

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Solution

The fourth proportional to 196.30, 293.02 and 182.02 is: 271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.30 : 293.02 = 182.02 : x
  2. Step 2: Convert to fraction form
    196.30/293.02 = 182.02/x
  3. Step 3: Cross multiply
    196.30x = 293.02 × 182.02
  4. Step 4: Simplify right side
    196.30x = 53,335.69
  5. Step 5: Solve for x
    x = 53,335.69/196.30
  6. Step 6: Final answer
    x = 271.71

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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.