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Finding the Fourth Proportional to 196.67, 293.58 and 182.42

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Solution

The fourth proportional to 196.67, 293.58 and 182.42 is: 272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.67 : 293.58 = 182.42 : x
  2. Step 2: Convert to fraction form
    196.67/293.58 = 182.42/x
  3. Step 3: Cross multiply
    196.67x = 293.58 × 182.42
  4. Step 4: Simplify right side
    196.67x = 53,553.40
  5. Step 5: Solve for x
    x = 53,553.40/196.67
  6. Step 6: Final answer
    x = 272.30

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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.